DIME BANCORP INC
S-3, 1999-05-10
SAVINGS INSTITUTION, FEDERALLY CHARTERED
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<PAGE>   1
 
      AS FILED WITH THE SECURITIES AND EXCHANGE COMMISSION ON MAY 10, 1999
 
                                                 REGISTRATION NO. 333-
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
 
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON D.C. 20549
                            ------------------------
                                    FORM S-3
                             REGISTRATION STATEMENT
                        UNDER THE SECURITIES ACT OF 1933
                            ------------------------
 
                               DIME BANCORP, INC.
             (EXACT NAME OF REGISTRANT AS SPECIFIED IN ITS CHARTER)
 
<TABLE>
<S>                                <C>                                <C>
             DELAWARE                       589 FIFTH AVENUE                      11-3197414
 (STATE OR OTHER JURISDICTION OF        NEW YORK, NEW YORK 10017               (I.R.S. EMPLOYER
  INCORPORATION OR ORGANIZATION)             (212) 326-6170                 IDENTIFICATION NUMBER)
                                   (ADDRESS, INCLUDING ZIP CODE, AND
                                    TELEPHONE NUMBER, INCLUDING AREA
                                                 CODE,
                                       OF REGISTRANT'S PRINCIPAL
                                           EXECUTIVE OFFICES)
</TABLE>
 
                            ------------------------
                              JAMES E. KELLY, ESQ.
                                GENERAL COUNSEL
                               DIME BANCORP, INC.
                                589 FIFTH AVENUE
                            NEW YORK, NEW YORK 10017
                                 (212) 326-6170
           (NAME, ADDRESS, INCLUDING ZIP CODE, AND TELEPHONE NUMBER,
                   INCLUDING AREA CODE, OF AGENT FOR SERVICE)
 
                                WITH A COPY TO:
                            MITCHELL S. EITEL, ESQ.
                              SULLIVAN & CROMWELL
                                125 BROAD STREET
                            NEW YORK, NEW YORK 10004
                                 (212) 558-4000
                            ------------------------
    APPROXIMATE DATE OF COMMENCEMENT OF PROPOSED SALE TO THE PUBLIC:  From time
to time after the effective date of this Registration Statement, as determined
in light of market conditions.
 
    If the only securities being registered on this Form are being offered
pursuant to dividend or interest reinvestment plans, please check the following
box. [ ]
 
    If any of the securities being registered on this Form are to be offered on
a delayed or continuous basis pursuant to Rule 415 under the Securities Act of
1933, other than securities offered only in connection with dividend or interest
reinvestment plans, check the following box. [X]
 
    If this Form is filed to register additional securities for an offering
pursuant to Rule 462(b) under the Securities Act, please check the following box
and list the Securities Act registration statement number of the earlier
effective registration statement for the same offering. [ ]
- ---------------
 
    If this Form is a post-effective amendment filed pursuant to Rule 462(c)
under the Securities Act, please check the following box and list the Securities
Act registration statement number of the earlier effective registration
statement for the same offering. [ ]
- ---------------
 
    If delivery of the prospectus is expected to be made pursuant to Rule 434,
please check the following box. [ ]
                            ------------------------
                        CALCULATION OF REGISTRATION FEE
 
<TABLE>
<CAPTION>
- ----------------------------------------------------------------------------------------------------------------------------
- ----------------------------------------------------------------------------------------------------------------------------
                                                                  PROPOSED              PROPOSED
          TITLE OF CLASS OF                AMOUNT TO BE       MAXIMUM OFFERING     MAXIMUM AGGREGATE         AMOUNT OF
     SECURITIES TO BE REGISTERED            REGISTERED         PRICE PER UNIT        OFFERING PRICE       REGISTRATION FEE
- ----------------------------------------------------------------------------------------------------------------------------
<S>                                    <C>                  <C>                  <C>                    <C>
Debt Securities.......................  $200,000,000(1)        100%(1)             $200,000,000           $55,600(2)
- ----------------------------------------------------------------------------------------------------------------------------
- ----------------------------------------------------------------------------------------------------------------------------
</TABLE>
 
(1) There are being registered hereunder such indeterminate principal amount of
    debt securities as shall have an aggregate initial offering price not to
    exceed $200,000,000. If any debt securities are issued at an original issue
    discount, then the securities registered shall include such additional debt
    securities as may be necessary such that the aggregate initial public
    offering price of all securities issued pursuant to this Registration
    Statement will equal $200,000,000. The proposed maximum initial offering
    price per unit will be determined, from time to time, by the Registrant in
    connection with the issuance by the Registrant of the securities registered
    hereunder. Pursuant to Rule 429 under the Securities Act of 1933, the
    prospectus constituting part of this Registration Statement also relates to
    $100,000,000 of the Registrant's unissued debt securities registered under
    Registration Statement No. 333-58253.
 
(2) Calculated pursuant to Rule 457(o) of the rules and regulations under the
    Securities Act of 1933. $29,500 of the registration fee previously paid
    under Registration Statement No. 333-58253 is attributable to the
    $100,000,000 of debt securities unissued thereunder.
                            ------------------------
    Pursuant to Rule 429 under the Securities Act of 1933, the prospectus filed
as part of this Registration Statement also constitutes a prospectus for
Registration Statement No. 333-58253; the $100,000,000 of debt securities
remaining unissued under Registration Statement No. 333-58253 will be combined
with the $200,000,000 aggregate amount of debt securities to be registered
pursuant to this Registration Statement to enable the Registrant to offer an
aggregate amount of $300,000,000 of debt securities pursuant to the combined
prospectus.
 
    THE REGISTRANT HEREBY AMENDS THIS REGISTRATION STATEMENT ON SUCH DATE OR
DATES AS MAY BE NECESSARY TO DELAY ITS EFFECTIVE DATE UNTIL THE REGISTRANT SHALL
FILE A FURTHER AMENDMENT WHICH SPECIFICALLY STATES THAT THIS REGISTRATION
STATEMENT SHALL THEREAFTER BECOME EFFECTIVE IN ACCORDANCE WITH SECTION 8(a) OF
THE SECURITIES ACT OF 1933 OR UNTIL THIS REGISTRATION STATEMENT SHALL BECOME
EFFECTIVE ON SUCH DATE AS THE COMMISSION, ACTING PURSUANT TO SAID SECTION 8(a),
MAY DETERMINE.
- --------------------------------------------------------------------------------
- --------------------------------------------------------------------------------
<PAGE>   2
 
THE INFORMATION IN THIS PROSPECTUS IS NOT COMPLETE AND MAY BE CHANGED. WE MAY
NOT SELL THESE SECURITIES UNTIL THE REGISTRATION STATEMENT FILED WITH THE
SECURITIES AND EXCHANGE COMMISSION IS EFFECTIVE. THIS PROSPECTUS IS NOT AN OFFER
TO SELL THESE SECURITIES AND IT IS NOT SOLICITING AN OFFER TO BUY THESE
SECURITIES IN ANY STATE WHERE THE OFFER OR SALE IS NOT PERMITTED.
 
        SUBJECT TO COMPLETION; PRELIMINARY PROSPECTUS DATED MAY 10, 1999
 
PROSPECTUS
 
                                  $300,000,000
 
                               DIME BANCORP, INC.
                                DEBT SECURITIES
 
                               ------------------
 
     We may, from time to time, issue up to $300,000,000 aggregate principal
amount of debt securities. We will provide specific terms of these debt
securities in supplements to this prospectus. You should read this prospectus
and any supplement carefully before you invest.
 
     We may sell these debt securities to or through underwriters, and also to
other purchasers or through agents. The names of any underwriters or agents will
be set forth in an accompanying prospectus supplement.
 
     SEE "RISK FACTORS" BEGINNING ON PAGE 2 FOR INFORMATION YOU SHOULD CONSIDER
BEFORE BUYING THE DEBT SECURITIES.
 
                               ------------------
 
     The debt securities are not deposits or other obligations of any bank or
savings association and are not insured or guaranteed by the Federal Deposit
Insurance Corporation or any other governmental agency.
 
                               ------------------
 
     NONE OF THE SECURITIES AND EXCHANGE COMMISSION, THE FEDERAL DEPOSIT
INSURANCE CORPORATION, THE OFFICE OF THRIFT SUPERVISION NOR ANY OTHER REGULATORY
BODY HAS APPROVED OR DISAPPROVED OF THESE DEBT SECURITIES OR PASSED UPON THE
ACCURACY OR ADEQUACY OF THIS PROSPECTUS. ANY REPRESENTATION TO THE CONTRARY IS A
CRIMINAL OFFENSE.
 
       THE DATE OF THIS PROSPECTUS IS                            , 1999.
<PAGE>   3
 
                                  RISK FACTORS
 
     In addition to the information contained elsewhere in this prospectus or
incorporated in this prospectus by reference, you should carefully consider the
following factors before making any final decision. See "Where You Can Find More
Information" to learn where you can obtain additional information.
 
AN ECONOMIC DOWNTURN MAY LEAD TO LESS DEMAND FOR DIME'S SERVICES AND REDUCE
DIME'S EARNINGS
 
     Our business faces various business risks. In a recession or other economic
downturn, these risks would probably become more acute and might lead to less
demand for our loan production or other services. The volume of our loan
production depends upon demand for the types of loans we produce and the
competition for such loans in the marketplace. Fluctuations in consumer
confidence, real estate values, interest rates and investment returns could
combine to make the types of loans we produce less attractive. In particular, an
increase in long-term interest rates could reduce the volume of loans funded and
sold by us and thereby reduce our earnings. In addition, during recessions and
economic downturns, the number of foreclosures generally increases, which could
lead to a higher number of lawsuits against us.
 
CHANGES IN INTEREST RATES MAY REDUCE DIME'S NET INCOME
 
     We realize a major part of our income from the differential or "spread"
between the interest we earn on our assets, such as loans and investments, and
the interest we pay on our liabilities, such as deposits and borrowings.
Differences between the maturity and repricing terms of these assets and
liabilities affect the size of the spread. In general, our interest-bearing
liabilities reprice or mature sooner than our interest-earning assets. This
means that higher interest rates may decrease the spread and reduce our net
interest income. If interest rates decline, however, our loans and investments
may, on average, reprice sooner than our deposits or be prepaid earlier than
expected, which may also decrease the spread and lower our net interest income.
In addition, changes in the relationship between long-term and short-term
interest rates (known as the "yield curve") or changes in the relationship
between our funding costs and the return on our loans and other investments can
adversely impact our net interest spread and net interest income.
 
     In addition, we earn a large part of our revenues from mortgage banking
activities, which are also subject to interest rate risk. First, we hold a large
portfolio of mortgage servicing assets. When interest rates fall, borrowers are
more likely to prepay the loans underlying these assets. This leads to lower
future servicing revenues and therefore a decline in the value of these mortgage
servicing assets. Second, we produce mortgage loans and then sell them in the
secondary mortgage market as mortgage-backed securities. In this case, we face
the risk that interest rates may change between the time we produce the loans
and the time we sell the loans as mortgage-backed securities.
 
     We use a variety of techniques to try to reduce our exposure to interest
rate fluctuations, but we cannot eliminate this risk.
 
YEAR 2000 ISSUE MAY CAUSE COMPUTER-RELATED DISRUPTIONS
 
     Many existing computer programs use only two digits to identify a year in a
data field. These programs were designed and developed without considering the
upcoming end of the century. If not corrected, many computer applications could
fail or create erroneous results by or at the Year 2000 or possibly earlier. The
Year 2000 issue affects us because the financial services industry depends
heavily on computer applications in a variety of ways, including the following:
 
     - We rely on computer systems in almost all aspects of our business,
       including the processing of deposits, loans and other services and
       products offered to customers as well as for environmental issues such as
       heating, ventilation and air conditioning in buildings where we conduct
       our business, and the failure of these computer systems could cause
       disruptions and failures in the products and services we offer.
 
     - Other banks, clearinghouses and vendors whose products and services we
       use are at risk of disruptions and failures in the event that they have
       not adequately addressed their Year 2000 issues.
 
                                        2
<PAGE>   4
 
     - The creditworthiness of borrowers and the stability of The Dime Savings
       Bank of New York, FSB's deposits might be diminished by disruptions of
       the businesses of its customers as a result of their own or others'
       failure to address adequately the Year 2000 issue.
 
     - Federal banking agencies have issued guidance on the business-wide risk
       posed to financial institutions by the Year 2000 problem. These agencies
       may take supervisory actions against financial institutions that fail to
       address Year 2000 issues appropriately.
 
     In order to address the Year 2000 issues facing us, our management
initiated a program to prepare our computer systems and applications for the
Year 2000. We have completed the process of assessing and analyzing the systems
issues associated with the Year 2000 problem and have adopted a plan to modify
or replace certain existing systems or software. We have successfully completed
the conversion of substantially all of our internal mission-critical systems. As
a result, substantially all of our internal mission-critical systems are now
Year 2000 capable. We are continuing post-conversion testing of our internal
mission-critical systems and conducting interface testing with mission-critical
and other material third parties.
 
     We have also established remediation contingency plans and business
resumption contingency plans for our mission-critical systems. These contingency
plans focus on mitigating (i) the risks associated with the failure to remediate
our internal mission-critical systems prior to the Year 2000 and (ii) the
operational risks to us and our customers should our core business processes
fail, regardless of whether our internal mission-critical systems are remediated
by the Year 2000.
 
     Further, we are communicating with important vendors and service providers
to evaluate their readiness to meet the Year 2000 challenge and determine our
exposure if they fail to address the problem.
 
     Finally, we have implemented a process of ongoing credit risk assessment
and monitoring of our significant commercial banking customers in an effort to
prepare for any Year 2000-related risk that may adversely affect us.
 
     Through March 31, 1999, we spent approximately $21 million in connection
with our Year 2000 program. We do not anticipate incurring any significant
additional expense in completing this program. The total cost estimate reflects
consulting fees associated with software modification, project management and
programming, but does not reflect the costs of having our personnel spend time
on Year 2000 issues or capital expenditures on systems that would have been made
regardless of Year 2000 issues.
 
     We cannot guarantee that our efforts will be accomplished in a timely
manner or that our failure or the failure of material third parties to do so
will not have a material adverse effect on us.
 
DIME IS EXTENSIVELY REGULATED
 
     Our operations are subject to extensive regulation by federal, state and
local governmental authorities and are subject to various laws and judicial and
administrative decisions imposing requirements and restrictions on us. Policies
adopted by these entities can affect our business operations and the
availability, growth and distribution of our investments, borrowings and
deposits. In addition, federal authorities periodically conduct examinations of
us and Dime Savings Bank and may impose various requirements or sanctions.
 
     Most of our cash flow comes from dividends and other capital distributions
paid to us by Dime Savings Bank, and our ability to make payments on our
securities (including those to be offered pursuant to this prospectus and any
accompanying prospectus supplement) is therefore dependent upon our ability to
receive these distributions. Certain statutes and regulations restrict Dime
Savings Bank's ability to pay dividends or make other distributions on its
capital stock or otherwise and thus limit the transfer of funds to us.
 
LEGISLATIVE AND REGULATORY PROPOSALS MAY UNFAVORABLY AFFECT DIME
 
     Proposals to change the laws governing financial institutions are
frequently raised in Congress and before bank regulatory authorities. Changes in
applicable laws or policies could materially affect our business, and the
likelihood of any major changes in the future and their effects are impossible
to determine. Moreover, it is impossible to predict the ultimate form any
proposed legislation might take or how it might affect us.
 
                                        3
<PAGE>   5
 
INTENSE COMPETITION EXISTS FOR LOANS AND DEPOSITS
 
     Competition among financial institutions in attracting and retaining
deposits and making loans is intense. Traditionally, Dime Savings Bank has faced
competition for deposits from other thrifts and commercial banks in the greater
New York metropolitan area. However, in recent years "nonbank" investment
alternatives such as money market mutual funds and corporate and governmental
debt securities, have become significant competitors for available funds. Dime
Savings Bank competes for loans with other thrift institutions, commercial
banks, mortgage banking companies, consumer finance companies, insurance
companies and other institutional investors and lenders. Many of the
institutions that Dime Savings Bank competes with for deposits and loans are
substantially larger than Dime Savings Bank.
 
                           FORWARD-LOOKING STATEMENTS
 
     This prospectus, any applicable prospectus supplement and the documents
incorporated by reference into this prospectus or such prospectus supplement
include forward-looking statements. We have based these forward-looking
statements on our current expectations and projections about future events.
These forward-looking statements are subject to risks, uncertainties and
assumptions about us, including, among other things:
 
     - interest rate movements;
 
     - competition from both financial and non-financial institutions;
 
     - changes in applicable laws and regulations;
 
     - the timing and occurrence (or non-occurrence) of transactions and events
       that may be subject to circumstances beyond our control; and
 
     - general economic conditions.
 
     We undertake no obligation to publicly update or revise any forward-looking
statements, whether as a result of new information, future events or otherwise.
In light of these risks, uncertainties, and assumptions, the forward-looking
events discussed in this prospectus, any applicable prospectus supplement and
the documents incorporated by reference into this prospectus and such prospectus
supplement might not occur.
 
                                        4
<PAGE>   6
 
                                  THE COMPANY
 
DIME AND DIME SAVINGS BANK
     We were incorporated under the laws of the State of Delaware in 1994. Our
principal executive office is located at 589 Fifth Avenue, New York, New York
10017. Our telephone number is (212) 326-6170. We are the holding company for
Dime Savings Bank. Dime Savings Bank was organized in 1859, converted from a
state charter to a federal charter in 1983 and converted to stock ownership in
1986. Headquartered in New York City, Dime Savings Bank currently operates 89
branches in the greater New York metropolitan area. Through Dime Savings Bank
and its subsidiaries, we also provide mortgage banking and selected consumer
financial services throughout the United States. At March 31, 1999, we had
consolidated total assets of $21.6 billion, deposits of $13.2 billion and
stockholders' equity of $1.4 billion.
 
CONSOLIDATED RATIOS OF EARNINGS TO FIXED CHARGES
 
     The following table sets forth certain information regarding our
consolidated ratios of earnings to fixed charges.
 
<TABLE>
<CAPTION>
                        3 MONTHS                   YEAR
                          ENDED                   ENDED
                        MARCH 31,              DECEMBER 31,
                       -----------   --------------------------------
                       1999   1998   1998   1997   1996   1995   1994
                       ----   ----   ----   ----   ----   ----   ----
<S>                    <C>    <C>    <C>    <C>    <C>    <C>    <C>
Excluding interest on
  deposits             2.06x  1.83x  1.98x  1.57x  1.42x  1.26x  1.22x
Including interest on
  deposits             1.45   1.35   1.39   1.22   1.17   1.12   1.09
</TABLE>
 
     For purposes of computing these ratios, earnings represent income before
income taxes, extraordinary items and cumulative effect of a change in
accounting principle, plus fixed charges. Fixed charges, excluding interest on
deposits, represent interest expense (other than interest on deposits),
one-third (the proportion that represents the interest factor) of rent expense
and all amortization of debt issuance costs. Fixed charges, including interest
on deposits, represent all interest expense, one-third (the proportion that
represents the interest factor) of rent expense and all amortization of debt
issuance costs.
 
                                USE OF PROCEEDS
 
     We intend to use the net proceeds from the sale of the debt securities for
general corporate purposes, including working capital, capital expenditures,
investments in or loans to our subsidiaries, refinancing of debt, including
outstanding commercial paper and other short-term indebtedness, if any,
redemption or repurchase of shares of our outstanding common stock, funding of
possible business combinations, the satisfaction of other obligations, or for
such other purposes as may be specified in the applicable prospectus supplement.
 
     We continually evaluate possible business combination opportunities. As a
result, future business combinations involving cash, debt or equity securities
may occur. Any future business combination or series of business combinations
that we might undertake may be material, in terms of assets acquired,
liabilities assumed or otherwise, to our financial condition.
 
                                        5
<PAGE>   7
 
                       CERTAIN REGULATORY CONSIDERATIONS
 
     As a savings and loan holding company, we are subject to supervision by the
Office of Thrift Supervision (the "OTS"). Dime Savings Bank is a federally
chartered savings bank subject to comprehensive regulation, examination and
supervision by the OTS, as the primary federal regulator of savings
associations, and by the Federal Deposit Insurance Corporation (the "FDIC"), as
the administrator of the federal deposit insurance funds. A portion of Dime
Savings Bank's deposits is insured by the Savings Association Insurance Fund,
and a portion is insured by the Bank Insurance Fund. Dime Savings Bank is
required to file reports with the OTS and the FDIC concerning its activities and
financial condition. Dime Savings Bank is a member of the Federal Home Loan Bank
of New York and is subject to certain limited regulation by the Board of
Governors of the Federal Reserve System.
 
     This section briefly describes some of the key statutory provisions and
regulations applicable to us and Dime Savings Bank. This section does not
contain a complete description of all the statutes and regulations affecting our
business. The regulatory scheme has been established primarily for the
protection of depositors and the financial system generally and is not intended
for the protection of stockholders or other creditors.
 
     As a holding company, our ability to make payments on our securities
(including those offered pursuant to this prospectus and any accompanying
prospectus supplement) is largely dependent on our ability to receive dividends
and other funds from Dime Savings Bank. In addition, our ability to make
payments on our securities (including those offered pursuant to this prospectus
and any accompanying prospectus supplement) is also affected by statutes and
regulations relating to the business of federal savings associations that have
the effect of limiting transfers of funds from Dime Savings Bank to us. The
nature and extent of these restrictions depend upon Dime Savings Bank's level of
regulatory capital and its income.
 
REGULATORY CAPITAL REQUIREMENTS
 
     Under federal statute and OTS regulations, savings associations are
required to comply with three separate capital adequacy standards. These
institutions are required to have "core capital" equal to at least 3% of
adjusted total assets, "tangible capital" equal to at least 1.5% of adjusted
total assets and "total risk-based capital" equal to at least 8% of
risk-weighted assets.
 
     "Core capital" includes common stockholders' equity (including common
stock, common stock surplus and retained earnings, but excluding any unrealized
gains or losses, net of related taxes, on certain securities available for
sale), noncumulative perpetual preferred stock and any related surplus and
minority interests in the equity accounts of fully consolidated subsidiaries.
Intangible assets, other than servicing assets valued in accordance with
applicable regulations and purchased credit card relationships, generally must
be deducted from core capital. Servicing assets and purchased credit card
relationships may together represent up to 100% of core capital, although the
amount of purchased credit card relationships and non-mortgage-related servicing
assets included in core capital may not together exceed 25% of core capital.
 
     "Tangible capital" means core capital less any intangible assets (except
for mortgage servicing assets includable in core capital) and investments in
subsidiaries that are not "includable subsidiaries" (except as permitted by
regulation).
 
     For purposes of the risk-based capital requirement, "total risk-based
capital" means core capital plus supplementary capital, so long as the amount of
supplementary capital that is used to satisfy the requirement does not exceed
the amount of core capital. "Supplementary capital" includes, among other
things, subordinated debt issued pursuant to OTS regulations, general valuation
loan and lease loss allowances up to a maximum of 1.25% of risk-weighted assets
and up to 45% of unrealized gains on certain securities available for sale.
Risk-weighted assets are determined by multiplying certain categories of the
savings association's assets, including off-balance sheet equivalents, by an
assigned risk weight of 0% to 100% based on the credit risk associated with
those assets as specified in OTS regulations.
 
     As of March 31, 1999, Dime Savings Bank had core capital and tangible
capital of $1.3 billion, which was equal to 6.17% of adjusted total assets, and
total risk-based capital of $1.4 billion, which was equal to 10.91% of
risk-weighted assets,
                                        6
<PAGE>   8
 
and exceeded the capital requirements imposed by
the OTS.
 
     In 1991, Congress enacted the "prompt corrective action" provisions of the
Federal Deposit Insurance Act, which established five capital-based categories
for depository institutions insured by the FDIC: "well capitalized," "adequately
capitalized," "undercapitalized," "significantly undercapitalized," and
"critically undercapitalized." The OTS must take certain mandatory action and
may take other discretionary action with respect to savings associations in the
three undercapitalized categories. Under OTS regulations, an institution is
treated as well capitalized if its ratio of total risk-based capital to
risk-weighted assets is 10% or more, its ratio of core capital to risk-weighted
assets is 6% or more, its ratio of core capital to adjusted total assets is 5%
or more and it is not subject to any order or directive by the OTS to meet a
specific capital level. At March 31, 1999, Dime Savings Bank continued to
satisfy the published standards for a well capitalized institution.
 
LIMITATIONS ON CAPITAL DISTRIBUTIONS
 
     Savings associations such as Dime Savings Bank may not make capital
distributions (or pay management fees to their holding companies) if, following
the distribution, they would be "undercapitalized" as described above. In
addition, OTS regulations limit a savings association's ability to pay dividends
and make other capital distributions according to its level of capital and
income. For this purpose, "capital distributions" include, among other things,
cash dividends, payments to repurchase, redeem, retire or otherwise acquire the
savings association's shares or debt instruments included in total capital,
payments of cash or other property to the savings association's owners or
affiliates made in connection with a corporate restructuring, payments to
stockholders of another institution in a cash-out merger, other distributions
charged against capital if the savings association would not be "well
capitalized" following the distribution or any other transaction the OTS
determines to be a distribution of capital. To the extent that the OTS
regulations described below and the prompt corrective action provisions are
inconsistent, the prompt corrective action provisions control.
 
     Under current OTS regulations, a savings association is required to file an
application with the OTS for approval to make a capital distribution if: (i) it
is not eligible for expedited treatment under the OTS application processing
rules; (ii) the total amount of all capital distributions, including the
proposed capital distribution, for the applicable calendar year would exceed an
amount equal to the savings association's net income for that year to date plus
the savings association's retained net income for the preceding two years; (iii)
the savings association would not be adequately capitalized under the OTS
capital regulation following the distribution; or (iv) the capital distribution
would violate a statute, regulation or agreement with the OTS or a condition
imposed by the OTS. A savings association that is not required to file an
application may be required to file a notice with the OTS under certain
conditions, including if it is a subsidiary of a holding company. The OTS may
disapprove an application or notice if the proposed capital distribution would:
(i) make the association undercapitalized, significantly undercapitalized or
critically undercapitalized; (ii) raise safety or soundness concerns; or (iii)
violate a statute, regulation or agreement with the OTS (or with the FDIC), or a
condition imposed in an OTS-approved application or notice.
 
TRANSACTIONS WITH AFFILIATES
 
     Under federal law and regulation, transactions between a savings
association and its "affiliates," such as its holding company and other
companies controlled by its holding company, are subject to quantitative and
qualitative restrictions. Savings associations are restricted in their ability
to engage in certain types of transactions with their affiliates, including
transactions that could provide funds to a holding company for the payment of
capital distributions.
 
     These "covered transactions" generally include:
 
     - lending or extending credit to an affiliate;
 
     - purchasing assets from an affiliate;
 
     - accepting securities issued by an affiliate as collateral for a loan or
       extension of credit; and
 
     - issuing a guarantee, acceptance or letter of credit on behalf of an
       affiliate.
 
                                        7
<PAGE>   9
 
Covered transactions are permitted between a savings association and single
affiliate up to 10% of the capital stock and surplus of the association, and
between a savings association and all of its affiliates together up to 20% of
the capital stock and surplus of the association. The purchase of low-quality
assets by a savings association from an affiliate is not permitted. Each loan or
extension of credit to an affiliate by a savings association must be secured by
collateral with a market value ranging from 100% to 130% (depending on the type
of collateral) of the amount of credit extended. A savings association is not
permitted, however, to make a loan or extension of credit to any affiliate
unless the affiliate is engaged only in activities that the Federal Reserve
Board has determined to be permissible for bank holding companies. Savings
associations also are prohibited from purchasing or investing in securities
issued by an affiliate, other than shares of a subsidiary.
 
     Covered transactions between a savings association and an affiliate, and
certain other transactions with or benefitting an affiliate, must be on terms
and conditions at least as favorable to the association as those prevailing at
the time for comparable transactions with non-affiliated companies. This
arm's-length requirement applies to all covered transactions, as well as to:
 
     - the sale of securities or other assets to an affiliate;
 
     - the payment of money or the furnishing of services to an affiliate;
 
     - any transaction in which an affiliate acts as agent or broker or receives
       a fee for its services to the savings association or to any other person;
       or
 
     - any transaction or series of transactions with a third party if any
       affiliate has a financial interest in the third party or is a participant
       in the transaction or series of transactions.
 
                                        8
<PAGE>   10
 
                  DESCRIPTION OF DEBT SECURITIES WE MAY OFFER
 
     As required by Federal law for all bonds and notes of companies that are
publicly offered, the debt securities are governed by documents called
"indentures." The indenture is a contract between us and the trustee named in
the applicable prospectus supplement, which acts as trustee for the debt
securities. There may be more than one trustee under each indenture for
different series of debt securities. The trustee has two main roles. First, the
trustee can enforce your rights against us if we default. There are some
limitations on the extent to which the trustee acts on your behalf, described
later on page 17 under "Remedies If An Event of Default Occurs." Second, the
trustee performs administrative duties for us, such as sending you interest
payments, transferring your debt securities to a new buyer if you sell, and
sending you notices.
 
     The indenture and its associated documents contain the full legal text of
the matters described in this section. The indenture and the debt securities are
governed by New York law.
 
     We may issue either senior debt securities or subordinated debt securities.
The senior and subordinated debt securities are issued under different
indentures and may have different trustees. The forms of subordinated indenture
and senior indenture are exhibits to the registration statement of which this
prospectus is a part. See "Where You Can Find More Information" on page 20 for
information on how to obtain a copy. When we refer to the indenture we mean both
the senior indenture and the subordinated indenture unless we indicate
otherwise. When we refer to the trustee we mean both the senior trustee and the
subordinated trustee unless we indicate otherwise.
 
     We may issue as many distinct series of debt securities under each
indenture as we wish. This section summarizes terms of the debt securities that
are common to all series. Because this section is a summary, it does not
describe every aspect of the debt securities. This summary is subject to, and
qualified in its entirety by, reference to all the provisions of the indenture,
including definitions of certain terms used in the indenture. We describe the
meaning for only the more important terms. We also include references in
parentheses to certain sections of the indenture. Whenever we refer to
particular sections or defined terms of the indenture in this prospectus or in a
prospectus supplement, those sections or defined terms are incorporated by
reference here or in the prospectus supplement.
 
     Certain material specific financial, legal and other terms of the debt
securities particular to your series will be described in the prospectus
supplement relating to your series. The prospectus supplement relating to your
series of debt securities will describe the following terms of your series:
 
     - the title of your series of debt securities;
 
     - any limit on the aggregate principal amount of your series of debt
       securities;
 
     - the date or dates on which your series of debt securities will mature;
 
     - the annual rate or rates (which may be fixed or variable) at which your
       series of debt securities will bear interest, if any, and the date or
       dates from which the interest, if any, will accrue;
 
     - the dates on which interest, if any, on your series of debt securities
       will be payable and the regular record dates for those interest payment
       dates;
 
     - any mandatory or optional sinking funds or analogous provisions or
       provisions for redemption at your option;
 
     - the date, if any, after which and the price or prices at which your
       series of debt securities may, in accordance with any option or mandatory
       redemption provisions, be redeemed and the other detailed terms and
       provisions of any such optional or mandatory redemption provision;
 
     - if other than denominations of $1,000 and any integral multiple thereof,
       the denomination in which your series of debt securities will be
       issuable;
 
     - if other than the principal amount thereof, the portion of the principal
       amount of your series of debt securities which will be payable upon the
       declaration of acceleration of the maturity of those debt securities;
 
                                        9
<PAGE>   11
 
     - the currency of payment of principal, premium, if any, and interest on
       your series of debt securities;
 
     - any index or formula used to determine the amount of payment of principal
       of, premium, if any, and interest on your series of debt securities;
 
     - the applicability of the provisions described under "Defeasance" on page
       15;
 
     - whether any debt securities will be issued in the form of a global
       security, the wording of any legal legend to be placed on any global
       security in addition to or instead of a legend describing the
       restrictions on exchanges and transfers listed under "Global Securities"
       on this page and, if different from those described in that subsection,
       any circumstances under which a global security may be exchanged for debt
       securities registered in the names of persons other than the depositary
       for the global security or its nominee;
 
     - whether your series of debt securities are subordinated debt securities
       or senior debt securities;
 
     - if your series of debt securities are subordinated debt securities,
       whether the subordination provisions summarized below or different
       subordination provisions will apply; and
 
     - any other material terms of your series of debt securities.
 
     Those terms may vary from the terms described here. Thus, this summary also
is subject to and qualified by reference to the description of the particular
terms of your series to be described in the prospectus supplement. The
prospectus supplement relating to your series of debt securities will be
attached to the front of this prospectus.
 
LEGAL OWNERSHIP
 
"STREET NAME" AND OTHER INDIRECT HOLDERS
 
     Investors who hold debt securities in accounts at banks or brokers will
generally not be recognized by us as legal holders of debt securities. This is
called holding in "street name." Instead, we would recognize only the bank or
broker or the financial institution the bank or broker uses to hold its debt
securities. These intermediary banks, brokers and other financial institutions
pass along principal, interest and other payments on the debt securities, either
because they agree to do so in their customer agreements or because they are
legally required to do so. If you hold debt securities in "street name," you
should check with your own bank or broker to find out:
 
     - How it handles debt securities payments and notices;
 
     - Whether it imposes fees or charges;
 
     - How it would handle voting if ever required;
 
     - Whether and how you can instruct it to send you debt securities
       registered in your own name so you can be a direct holder as described
       below; and
 
     - How it would pursue rights under the debt securities if there were a
       default or other event triggering the need for holders to act to protect
       their interests.
 
DIRECT HOLDERS
 
     Our obligations, as well as the obligations of the trustee and those of any
third parties employed by us or the trustee, run only to persons or entities who
are the direct holders of debt securities; i.e., those who are registered as
holders of debt securities. As noted above, we do not have obligations to you if
you hold in "street name" or through other indirect means, either because you
choose to hold debt securities in that manner or because the debt securities are
issued in the form of "global securities" as described below. For example, once
we make a payment to the registered holder, we have no further responsibility
for the payment even if that registered holder is legally required to pass the
payment along to you as a "street name" customer but does not do so.
 
GLOBAL SECURITIES
 
     What is a Global Security? A "global security" is a special type of
indirectly held security, as described above under " 'Street Name' and Other
Indirect Holders." If we choose to issue debt securities in the form of global
securities, the ultimate beneficial owners can only be indirect holders. We do
this by requiring that the global security be registered in the name of a
financial
 
                                       10
<PAGE>   12
 
institution we select and by requiring that the debt securities included in the
global security not be transferred to the name of any other direct holder unless
the special circumstances described below occur. The financial institution that
acts as the sole direct holder of the global security is called the
"depositary." Any person wishing to own a debt security must do so indirectly by
virtue of an account with a broker, bank or other financial institution that in
turn has an account with the depositary. The prospectus supplement will indicate
whether your series of debt securities will be issued in the form of global
securities.
 
     Special Investor Considerations for Global Securities. As an indirect
holder, an investor's rights relating to a global security will be governed by
the account rules of the investor's financial institution and of the depositary,
as well as general laws relating to securities transfers. We do not recognize
this type of investor as a registered holder of debt securities and instead deal
only with the depositary that holds the global security.
 
     An investor should be aware that if debt securities are issued in the form
of global securities:
 
     - The investor cannot get debt securities registered in his or her own
       name;
 
     - The investor cannot receive physical certificates for his or her interest
       in the debt securities;
 
     - The investor will be a "street name" holder and must look to his or her
       own bank or broker for payments on the debt securities and protection of
       his or her legal rights relating to the debt securities. See " 'Street
       Name' and Other Indirect Holders" on page 10;
 
     - The investor may not be able to sell interests in the debt securities to
       some insurance companies and other institutions that are required by law
       to own their securities in the form of physical certificates; and
 
     - The depositary's policies will govern payments, transfers, exchange and
       other matters relating to the investor's interest in the global security.
       We and the trustee have no responsibility for any aspect of the
       depositary's actions or for its records of ownership interests in the
       global security. We and the trustee also do not supervise the depositary
       in any way.
 
     Special Situations When Global Security Will Be Terminated. In a few
special situations described later, the global security will terminate and
interests in it will be exchanged for physical certificates representing debt
securities. After that exchange, the choice of whether to hold debt securities
directly or in "street name" will be up to the investor. Investors must consult
their own banks or brokers to find out how to have their interests in debt
securities transferred to their own name, so that they will be direct holders.
The rights of "street name" investors and direct holders in the debt securities
have been previously described in the subsections entitled " 'Street Name' and
Other Indirect Holders" on page 10 and "Direct Holders" on page 10.
 
     The special situations for termination of a global security are:
 
     - When the depositary notifies us that it is unwilling, unable or no longer
       qualified to continue as depositary;
 
     - When we notify the trustee that we wish to terminate the global security;
       or
 
     - When an "event of default" on the debt securities has occurred and has
       not been cured. (Defaults are discussed later under "Events of Default"
       on page 16.)
 
The prospectus supplement may also list additional situations for terminating a
global security that would apply only to the particular series of debt
securities covered by the prospectus supplement. When a global security
terminates, the depositary (and not us or the trustee) is responsible for
deciding the names of the institutions that will be the initial direct holders.
(Sections 204 and 305)
 
   IN THE REMAINDER OF THIS DESCRIPTION, "YOU" MEANS DIRECT HOLDERS AND NOT
   "STREET NAME" OR OTHER INDIRECT HOLDERS OF DEBT SECURITIES. INDIRECT
   HOLDERS SHOULD READ THE PREVIOUS SUBSECTION ON PAGE 10 ENTITLED " 'STREET
   NAME' AND OTHER INDIRECT HOLDERS."
 
                                       11
<PAGE>   13
 
OVERVIEW OF REMAINDER OF THIS DESCRIPTION
 
     The remainder of this description summarizes:
 
     - ADDITIONAL MECHANICS relevant to the debt securities under normal
       circumstances, such as how you transfer ownership and where we make
       payments;
 
     - Your rights under several SPECIAL SITUATIONS, such as if we merge with
       another company or if we want to change a term of the debt securities;
 
     - Promises we make to you about how we will run our business or business
       actions we promise not to take (known as "RESTRICTIVE COVENANTS"); and
 
     - Your rights if we DEFAULT or experience other financial difficulties.
 
ADDITIONAL MECHANICS
 
FORM, EXCHANGE AND TRANSFER
 
     The debt securities will be issued:
 
     - only in fully registered form;
 
     - without interest coupons; and
 
     - unless otherwise indicated in the prospectus supplement, in denominations
       that are even multiples of $1,000. (Section 302)
 
     You may have your debt securities broken into more debt securities of
smaller denominations or combined into fewer debt securities of larger
denominations, as long as the total principal amount is not changed. (Section
305) This is called an "exchange."
 
     You may exchange or transfer debt securities at the office of the trustee.
The trustee acts as our agent for registering debt securities in the names of
holders and transferring debt securities. We may appoint another entity or
perform this role ourselves. The entity performing the role of maintaining the
list of registered direct holders is called the "security registrar." It will
also perform transfers. (Section 305)
 
     You will not be required to pay a service charge to transfer or exchange
debt securities, but you may be required to pay for any tax or other
governmental charge associated with the exchange or transfer. The transfer or
exchange will only be made if the security registrar is satisfied with your
proof of ownership.
 
     If we designate a securities registrar, it will be named in the prospectus
supplement. We may cancel the designation of any particular securities
registrar. We may also approve a change in the office through which any security
registrar acts. (Section 1002)
 
     If the debt securities are redeemable and we redeem less than all of the
debt securities of a particular series, we may block the transfer or exchange of
those debt securities during the period beginning 15 days before the day we mail
the notice of redemption and ending on the day of that mailing, in order to
freeze the list of holders to prepare the mailing. We may also refuse to
register transfers or exchanges of debt securities selected for redemption,
except that we will continue to permit transfers and exchanges of the unredeemed
portion of any debt security being partially redeemed. (Section 305)
 
PAYMENT AND PAYING AGENTS
 
     We will pay interest to you if you are a direct holder listed in the
trustee's records at the close of business on a particular day in advance of
each due date for interest, even if you no longer own the debt security on the
interest due date. That particular day, usually about two weeks in advance of
the interest due date, is called the "regular record date" and will be stated in
the prospectus supplement. (Section 307) Holders buying and selling debt
securities must work out between them how to compensate for the fact that we
will pay all the interest for an interest period to the one who is the
registered holder on the regular record date. The most common manner is to
adjust the sales price of the debt securities to pro rate interest fairly
between buyer and seller. This pro rated interest amount is called "accrued
interest."
 
     We will pay interest, principal and any other money due on the debt
securities at the corporate trust office of the trustee in New York City. You
must make arrangements to have your payments picked up at or wired from that
office. We may also choose to pay interest by mailing checks.
 
                                       12
<PAGE>   14
 
   "STREET NAME" AND OTHER INDIRECT HOLDERS SHOULD CONSULT THEIR BANKS OR
   BROKERS FOR INFORMATION ON HOW THEY WILL RECEIVE PAYMENTS.
 
     We may also arrange for additional payment offices, and may cancel or
change these offices, including our use of the trustee's corporate trust office.
These offices are called "paying agents." We may also choose to act as our own
paying agent. We must notify you of changes in the paying agents for any
particular series of debt securities. (Section 1002)
 
NOTICES
 
     We and the trustee will send notices regarding the debt securities only to
direct holders, using their addresses as listed in the trustee's records.
(Sections 101 and 106)
 
     Regardless of who acts as paying agent, all money paid by us to a paying
agent that remains unclaimed at the end of two years after the amount is due to
direct holders will be repaid to us. After that two-year period, you may look
only to us for payment and not to the trustee, any other paying agent or anyone
else. (Section 1003)
 
SPECIAL SITUATIONS
 
MERGERS AND SIMILAR EVENTS
 
     We are generally permitted to consolidate or merge with another entity. We
are also permitted to sell or lease substantially all of our assets to another
company, or to buy or lease substantially all of the assets of another entity.
However, we may not take any of these actions unless the following conditions
(among others) are met:
 
     - Where we merge out of existence or sell or lease substantially all our
       assets, the other entity must be a corporation, partnership or trust
       organized under the laws of a State or the District of Columbia or under
       federal law, and it must agree to be legally responsible for the debt
       securities.
 
     - The merger, sale of assets or other transaction must not cause a default
       on the debt securities, and we must not already be in default (unless the
       merger or other transaction would cure the default). For purposes of this
       no-default test, a default would include an event of default, as
       described on page 16, that has occurred and not been cured. A default for
       this purpose would also include any event that would be an event of
       default if the requirements for giving us notice of our default or our
       default having to exist for a specific period of time were disregarded.
       (Section 801)
 
MODIFICATION AND WAIVER
 
     There are three types of changes we can make to the indentures and the debt
securities.
 
     Changes Requiring Your Approval. First, there are changes that cannot be
made to your debt securities without your specific approval. Following is a list
of those types of changes:
 
     - change the payment due date of the principal or interest on a debt
       security;
 
     - reduce any amounts due on a debt security;
 
     - reduce the amount of principal payable upon acceleration of the maturity
       of a debt security following a default;
 
     - change the place or currency of payment on a debt security;
 
     - impair your right to sue for payment;
 
     - if your debt securities are subordinated debt securities, modify the
       subordination provisions in a manner that is adverse to you;
 
     - reduce the percentage of direct holders of debt securities whose consent
       is needed to modify or amend the indenture;
 
     - reduce the percentage of direct holders of debt securities whose consent
       is needed to waive compliance with certain provisions of the indenture or
       to waive certain defaults; and
 
     - modify any other aspect of the provisions dealing with modification and
       waiver of the indenture. (Section 902)
 
     Changes Requiring a Majority Vote. The second type of change to the
indentures and the debt securities is the kind that requires a vote in favor by
direct holders of debt securities owning a majority of the principal amount of
the particular
 
                                       13
<PAGE>   15
 
series affected. The same majority vote would be required for us to obtain a
waiver of all or part of the restrictive covenants described later on page 14,
or a waiver of a past default. However, we cannot obtain a waiver of a payment
default or any other aspect of the indenture or the debt securities listed in
the first category described previously on page 13 under "Changes Requiring Your
Approval" unless we obtain your individual consent to the waiver. (Section 513)
 
     Changes Not Requiring Approval. The third type of change does not require
any vote by direct holders of debt securities. This type is limited to
clarifications and certain other changes that would not adversely affect holders
of the debt securities. (Section 901)
 
     Further Details Concerning Voting. When taking a vote, we will use the
following rules to decide how much principal amount to attribute to a debt
security:
 
     - For original issue discount securities, we will use the principal amount
       that would be due and payable on the voting date if the maturity of the
       debt securities were accelerated to that date because of a default;
 
     - For debt securities whose principal amount is not known (for example,
       because it is based on an index), we will use a special rule for that
       debt security described in the prospectus supplement; and
 
     - For debt securities denominated in one or more foreign currencies or
       currency units, we will use the U.S. dollar equivalent.
 
     Debt securities will not be considered outstanding, and the holders will
therefore not be eligible to vote, if we have deposited or set aside in trust
for the holders money for their payment or redemption. (Section 101) Holders of
debt securities will also not be eligible to vote if the debt securities have
been fully defeased as described later on page 15 under "Full Defeasance."
(Section 101)
 
     We will generally be entitled to set any day as a record date for the
purpose of determining the direct holders of outstanding debt securities that
are entitled to vote or take other action under the indenture. (Section 301) In
certain limited circumstances, the trustee will be entitled to set a record date
for action by direct holders. If we or the trustee set a record date for a vote
or other action to be taken by direct holders of a particular series, that vote
or action may be taken only by persons who are holders of outstanding debt
securities of that series on the record date and must be taken within 180 days
following the record date or a shorter period that we may specify (or as the
trustee may specify, if it set the record date). We may shorten or lengthen (but
not beyond 180 days) this period from time to time. (Section 104)
 
   "STREET NAME" AND OTHER INDIRECT HOLDERS SHOULD CONSULT THEIR BANKS OR
   BROKERS FOR INFORMATION ON HOW APPROVAL MAY BE GRANTED OR DENIED IF WE
   SEEK TO CHANGE THE INDENTURE OR THE DEBT SECURITIES OR REQUEST A WAIVER.
 
RESTRICTIVE COVENANTS
 
THE SENIOR INDENTURE LIMITS HOW WE MAY DISPOSE OF VOTING STOCK OF OUR PRINCIPAL
SUBSIDIARY BANK
 
     Under the senior indenture, we cannot assign, sell, grant a security
interest in or otherwise dispose of any shares or rights to obtain shares with
general voting power (other than directors' qualifying shares) of any principal
subsidiary bank. A "principal subsidiary bank" is a bank subsidiary that has
total assets equal to 30% or more of our assets. Currently, our only principal
subsidiary bank is Dime Savings Bank. Also, we may not permit a principal
subsidiary bank to issue any shares or rights to obtain shares with general
voting power of that bank except for transactions that are:
 
     - for fair market value on the date of action and, after the transaction,
       we own at least 80% of the shares of issued voting stock of the principal
       subsidiary bank;
 
     - required by a court or regulatory authority as a condition of permitting
       certain acquisitions by us;
 
     - made where the principal subsidiary bank unconditionally guarantees
       payment on the debt securities; or
 
     - made to us or any of our wholly-owned subsidiaries if the subsidiary
       agrees to be bound by this covenant and we agree to
 
                                       14
<PAGE>   16
 
       maintain that subsidiary as a wholly-owned subsidiary.
 
     A principal subsidiary bank may generally merge into or consolidate with
another banking institution if, after the transaction, we or any of our
wholly-owned subsidiaries own at least 80% of the issued voting stock of the
other banking institution clear of any security interest and there is no event
of default if the resulting banking institution is treated as a principal
subsidiary bank.
 
     The subordinated indenture does not contain this limitation, and these
limits are not intended for the benefit of the subordinated debt securities.
 
DEFEASANCE
 
     The following discussion of "full defeasance" and "covenant defeasance"
will be applicable to your series of debt securities only if we choose to have
them apply to that series. If we do so choose, we will state that in the
prospectus supplement. (Section 1301)
 
     Full Defeasance. If there is a change in federal tax law, as described
below, we can legally release ourselves from any payment or other obligations on
the debt securities (called "full defeasance") if the following things happen:
 
     - We must irrevocably deposit in trust for your benefit and the benefit of
       all other direct holders of the debt securities a combination of money
       and U.S. government or U.S. government agency notes or bonds that will
       generate enough cash to make interest, principal and any other payments
       on the debt securities on their various due dates.
 
     - There must be a change in current federal tax law or an IRS ruling that
       lets us make the above deposit without causing you to be taxed on the
       debt securities any differently than if we did not make the deposit and
       just repaid the debt securities ourselves. (Under current federal tax
       law, the deposit and our legal release from the debt securities would be
       treated as though we took back your debt securities and gave you your
       share of the cash and notes or bonds deposited in trust. In that event,
       you could recognize gain or loss on the debt securities you give back to
       us.)
 
     - We must deliver to the trustee a legal opinion of our counsel confirming
       the tax law change described above. (Sections 1302 and 1304)
 
     If we ever did accomplish full defeasance, as described above, you would
have to rely solely on the trust deposit for repayment of the debt securities.
You could not look to us for repayment in the unlikely event of any shortfall.
Conversely, the trust deposit would most likely be protected from claims of our
lenders and other creditors if we ever became bankrupt or insolvent. In the case
of subordinated debt securities, you would also be released from the
subordination provisions on the subordinated debt securities described later
under "Subordination of the Subordinated Debt Securities" on page 17.
 
     Covenant Defeasance. Under current federal tax law, we can make the same
type of deposit described above and be released from some of the restrictive
covenants in the debt securities. This is called "covenant defeasance." In that
event, you would lose the protection of those restrictive covenants but would
gain the protection of having money and securities set aside in trust to repay
the debt securities and, in the case of subordinated debt securities, you would
be released from the subordination provisions on the subordinated debt
securities described later on page 17. In order to achieve covenant defeasance,
we must do the following:
 
     - Deposit in trust for your benefit and the benefit of all other direct
       holders of the debt securities a combination of money and U.S. government
       or U.S. government agency notes or bonds that will generate enough cash
       to make interest, principal and any other payments on the debt securities
       on their various due dates.
 
     - Deliver to the trustee a legal opinion of our counsel confirming that
       under current federal income tax law we may make the above deposit
       without causing you to be taxed on the debt securities any differently
       than if we did not make the deposit and just repaid the debt securities
       ourselves.
 
                                       15
<PAGE>   17
 
     If we accomplish covenant defeasance, the following provisions (among
others) of the indenture and the debt securities would no longer apply:
 
     - Our promises regarding disposition of the stock of Dime Savings Bank is
       previously described on page 14 under "The Senior Indenture Limits How We
       May Dispose of Voting Stock of Our Principal Subsidiary Bank," and any
       other covenants applicable to the series of debt securities and described
       in the prospectus supplement;
 
     - The events of default relating to breach of covenants and acceleration of
       the maturity of other debt, described later on this page under "Events of
       Default"; and
 
     - In the case of subordinated debt securities, the subordination provisions
       on the subordinated debt securities described later on page 17 under
       "Subordination of Subordinated Debt Securities."
 
     If we accomplish covenant defeasance, you can still look to us for
repayment of the debt securities if there were a shortfall in the trust deposit.
In fact, if one of the remaining events of default occurred (such as our
bankruptcy) and the debt securities become immediately due and payable, there
may be such a shortfall. Depending on the event causing the default, you may not
be able to obtain payment of the shortfall. (Sections 1303 and 1304)
 
DEFAULT AND RELATED MATTERS
 
RANKING
 
     The debt securities are not secured by any of our property or assets.
Accordingly, your ownership of debt securities means you are one of our
unsecured creditors. The senior debt securities are not subordinated to any of
our other debt obligations, and therefore they rank equally with all our other
unsecured and unsubordinated indebtedness. The subordinated debt securities are
subordinated to some of our existing and future debt and other liabilities. See
"Subordination of Subordinated Debt Securities" on page 17 for additional
information on how subordination limits your ability to receive payment or
pursue other rights if we default or have certain other financial difficulties.
 
EVENTS OF DEFAULT
 
     You will have special rights if an "event of default" occurs and is not
cured, as described later in this subsection. The events of default for the
senior debt securities are different than those for the subordinated debt
securities.
 
     The Senior Indenture. Under the senior indenture, the term "event of
default" means any of the following:
 
     - We do not pay the principal or any premium on a debt security on its due
       date;
 
     - We do not pay interest on a debt security within 30 days of its due date;
 
     - We do not deposit any sinking fund payment on its due date;
 
     - We remain in breach of the restrictive covenant described previously
       under "The Senior Indenture Limits How We May Dispose of Voting Stock of
       Our Principal Subsidiary Bank" or any other term of the senior indenture
       for 60 days after we receive a notice stating we are in breach. The
       notice must be sent by either the trustee or direct holders of at least
       25% of the principal amount of outstanding debt securities of the
       affected series;
 
     - We or Dime Savings Bank fail to pay an amount of debt (other than the
       debt securities) totaling more than $5,000,000, our obligation to repay
       is accelerated by our lenders, and this payment obligation remains
       accelerated for 60 days after we receive notice of default as described
       in the previous paragraph;
 
     - We file for bankruptcy or certain other events in bankruptcy, insolvency
       or reorganization occur; and
 
     - Any other event of default described in the prospectus supplement occurs.
       (Section 501)
 
     The Subordinated Indenture. Under the subordinated indenture, the term
"event of default" means any of the following:
 
     - We do not pay the principal or any premium on a debt security of on its
       due date;
 
                                       16
<PAGE>   18
 
     - We do not pay interest on a debt security within 30 days of its due date;
 
     - We remain in breach of any other term of the subordinated indenture for
       30 days after we receive a notice stating we are in breach. The notice
       must be sent by either the trustee or direct holders of at least 25% of
       the principal amount of outstanding debt securities of the affected
       series;
 
     - We file for bankruptcy or certain other events in bankruptcy, insolvency
       or reorganization occur; and
 
     - Any other event of default described in the prospectus supplement occurs.
       (Section 501)
 
     Remedies If an Event of Default Occurs. If an event of default has occurred
and has not been cured, the trustee or the direct holders of 25% in principal
amount of the outstanding debt securities of the affected series may declare the
entire principal amount of all the debt securities of that series to be due and
immediately payable. This is called a "declaration of acceleration of maturity."
A declaration of acceleration of maturity may be canceled by the direct holders
of at least a majority in principal amount of the debt securities of the
affected series. (Section 502) If an event of default occurs because of certain
events in bankruptcy, insolvency or reorganization, the principal amount of all
the debt securities of that series will be automatically accelerated, without
any action by the trustee or any direct holder.
 
     Except in cases of default, where a trustee has some special duties, a
trustee is not required to take any action under the indenture at the request of
any direct holders unless the direct holders offer the trustee reasonable
protection from expenses and liability (called an "indemnity"). (Section 603) If
reasonable indemnity is provided, the direct holders of a majority in principal
amount of the outstanding debt securities of the relevant series may direct the
time, method and place of conducting any lawsuit or other formal legal action
seeking any remedy available to the trustee. These majority direct holders may
also direct the trustee in performing any other action under the indenture.
(Section 512)
 
     In general, before you bypass the trustee and bring your own lawsuit or
other formal legal action or take other steps to enforce your rights or protect
your interests relating to the debt securities, the following must occur:
 
     - You must give the trustee written notice that an event of default has
       occurred and remains uncured;
 
     - The direct holders of 25% in principal amount of all outstanding debt
       securities of the relevant series must make a written request that the
       trustee take action because of the default, and must offer reasonable
       indemnity to the trustee against the cost and other liabilities of taking
       that action;
 
     - The trustee must have not taken action for 60 days after receipt of the
       above notice and offer of indemnity; and
 
     - The trustee must not have received from direct holders of a majority in
       principal amount of the outstanding debt securities of that series a
       direction inconsistent with the written notice during the 60 day period
       after receipt of the above notice. (Section 507)
 
     However, you are entitled at any time to bring a lawsuit for the payment of
money due on your debt security on or after its due date. (Section 508)
 "STREET NAME" AND OTHER INDIRECT HOLDERS SHOULD CONSULT THEIR BANKS OR BROKERS
 FOR INFORMATION ON HOW TO GIVE NOTICE OR DIRECTION TO OR MAKE A REQUEST OF THE
 TRUSTEE AND TO MAKE OR CANCEL A DECLARATION OF ACCELERATION.
 
     We will furnish to the trustee every year a written statement of certain of
our officers certifying that to their knowledge we are in compliance with the
indenture and the debt securities, or else specifying any default. (Section
1004)
 
SUBORDINATION OF THE SUBORDINATED DEBT SECURITIES
 
     The subordinated debt securities are subordinated securities and, as a
result, the payment of principal of, and any premium and interest on, the debt
securities is subordinated in right of payment to the prior payment in full of
all of our senior debt. This means that, in certain circumstances where we may
not be making payments on all of our debt obligations as they come due, the
holders of all of our senior debt will be entitled to receive
                                       17
<PAGE>   19
 
payment in full of all amounts that are due or will become due on their debt
securities before the holders of subordinated debt securities will be entitled
to receive any amounts on the subordinated debt securities. These circumstances
include:
 
     - We make a payment or distribute assets to creditors upon any liquidation,
       dissolution, winding up or reorganization of our company, or as part of
       an assignment or marshalling of our assets for the benefit of our
       creditors;
 
     - We file for bankruptcy or certain other events in bankruptcy, insolvency
       or similar proceedings occur; or
 
     - The maturity of the subordinated debt securities is accelerated. For
       example, the entire principal amount of a series of subordinated debt
       securities may be declared to be due and immediately payable or may be
       automatically accelerated due to an event of default as described under
       "Events of Default" on page 16.
 
     In addition, we are not permitted to make payments of principal of, or any
premium or interest on, the subordinated debt securities if we default in our
obligation to make payments on senior debt and do not cure such default, or if
an event of default that permits the holders of senior debt to accelerate the
maturity of the senior debt occurs.
 
     These subordination provisions mean that if we are insolvent a direct
holder of our senior debt may ultimately receive out of our assets more than a
direct holder of the same amount of our subordinated debt securities and a
creditor of ours that is owed a specific amount may ultimately receive more than
a direct holder of the same amount of subordinated debt securities.
 
     "Senior debt" means the principal of, and any premium and interest on, all
of our indebtedness (including indebtedness of others that we guarantee),
whether such indebtedness exists now or is created, incurred or assumed by us
after the date of this prospectus, that is for money we borrow or is evidenced
by a note or similar instrument that we have given when we acquire any business,
property or assets or that we owe as a lessee under leases that generally
accepted accounting principles require us to capitalize on our balance sheet or
leases made as part of any sale and leaseback transaction we engage in. Senior
debt includes any senior debt securities. Senior debt also includes any
amendment, renewal, replacement, extension, modification and refunding of any
indebtedness that itself was senior debt. Senior debt does not include any
indebtedness that expressly states in the instrument creating or evidencing it
that it does not rank senior in right of payment to the debt securities. Senior
debt does not include the subordinated debt securities.
 
     At March 31, 1999, we owed a total of $200 million in principal amount of
senior debt, without counting any accrued interest on that senior debt. The
indenture does not limit the amount of senior debt we are permitted to have, and
we may in the future incur additional senior debt.
 
REGARDING THE TRUSTEE
 
     The trustee for the senior debt securities and the trustee for the
subordinated debt securities each will be named in the applicable prospectus
supplement.
 
     Any trustee of debt securities may resign or be removed, and a new trustee
may be appointed to replace the previous trustee. If two or more persons or
entities are acting as trustees for different series of debt securities, each
trustee is a trustee of a trust under its indenture separate from the trust
administered by any other trustee. Any action to be taken by the "trustee" may
then be taken by each trustee only with respect to the series of debt securities
for which it is trustee.
 
     In the ordinary course of business, we and our subsidiaries may conduct
transactions with trustees, and trustees and their affiliates may conduct
transactions with us and our subsidiaries.
 
                                       18
<PAGE>   20
 
                              PLAN OF DISTRIBUTION
 
     We may sell, from time to time, the debt securities through agents or
underwriters, or directly to one or more purchasers.
 
AGENTS
 
     We may designate agents who agree to use their reasonable efforts to
solicit purchases for the period of their appointment to sell debt securities on
a continuing basis.
 
UNDERWRITERS
 
     If we use underwriters for a sale of debt securities, the debt securities
will be acquired by the underwriters for their own account. The underwriters may
resell the debt securities in one or more transactions, including negotiated
transactions, at a fixed public offering price or at varying prices determined
at the time of sale. The obligations of the underwriters to purchase debt
securities will be subject to certain conditions. Unless the applicable
prospectus supplement has different terms, the underwriters will be obligated to
purchase all the debt securities of the series offered if any of the debt
securities of that series are purchased. Any initial public offering price and
any discounts or concessions allowed or reallowed or paid to underwriters may be
changed from time to time.
 
DIRECT SALES
 
     We may also sell debt securities directly to one or more purchasers without
using underwriters or agents.
 
     Underwriters, dealers and agents that participate in the distribution of
the debt securities may be underwriters as defined in the Securities Act of
1933, and any discounts or commissions they receive from us and any profit on
their resale of the debt securities may be treated as underwriting discounts and
commissions under the Securities Act. Any underwriters, dealers or agents will
be identified and their compensation described in the applicable prospectus
supplement. We may have agreements with the underwriters, dealers and agents to
indemnify them against certain civil liabilities, including liabilities under
the Securities Act. Underwriters, dealers and agents may engage in transactions
with or perform services for us or our subsidiaries in the ordinary course of
their business.
 
                        VALIDITY OF THE DEBT SECURITIES
 
     Unless otherwise indicated in the applicable prospectus supplement, the
validity of any debt securities offered hereby will be passed upon for us by our
counsel, Sullivan & Cromwell, New York, New York.
 
                                       19
<PAGE>   21
 
                      WHERE YOU CAN FIND MORE INFORMATION
 
     We file annual, quarterly and special reports, proxy statements and other
information with the SEC. Our SEC filings are available to the public over the
Internet at the SEC's web site at http://www.sec.gov. You may also read and copy
any document we file at the SEC's public reference room, 450 Fifth Street, N.W.,
Room 1024, Washington, D.C. 20549 and at the SEC's public reference rooms in its
offices in New York, New York and Chicago, Illinois. Please call the SEC at
1-800-SEC-0330 for further information on the public reference rooms. Because
our common stock is listed on the NYSE, you may inspect reports, proxy
statements and other information about us at the offices of the NYSE, 20 Broad
Street, New York, New York 10005.
 
     The SEC allows us to "incorporate by reference" information we file with
them, which means that we can disclose important information to you by referring
you to other documents. The information incorporated by reference is an
important part of this prospectus, and information that we file later with the
SEC will automatically update and supersede this information. We incorporate by
reference the documents listed below and any future filings made with the SEC
under Sections 13(a), 13(c), 14 or 15(d) of the Securities Exchange Act of 1934
until we sell all of the debt securities.
 
     - Annual Report on Form 10-K for the fiscal year ended December 31, 1998.
 
     - [Quarterly Report on Form 10-Q for the quarter ended March 31, 1999.]
 
     - Current Reports on Form 8-K dated January 21, 1999, January 28, 1999,
       April 15, 1999 and April 26, 1999; and Amendment No. 1 to Current Report
       on Form 8-K dated April 19, 1999.
 
     You may request a copy of these filings at no cost, by writing or
telephoning us at the following address:
 
  Dime Bancorp, Inc.
  589 Fifth Avenue
  New York, New York 10017
  Attention: Investor Relations Department
  Telephone (212) 326-6170
 
     You should rely only on the information incorporated by reference or
provided in this prospectus or any prospectus supplement. We have not authorized
anyone else to provide you with different information. We are not making an
offer of these debt securities in states where the offer is not permitted. You
should not assume that the information appearing in this prospectus or any
prospectus supplement is accurate as of any date other than the date on the
front of those documents.
 
                                    EXPERTS
 
     Our consolidated financial statements as of December 31, 1998 and 1997 and
for each of the years in the three-year period ended December 31, 1998, included
in our 1998 annual report on Form 10-K and incorporated by reference in this
prospectus have been incorporated by reference herein and in the registration
statement of which this prospectus is a part in reliance on the report of KPMG
LLP, independent public accountants, included in our 1998 annual report on Form
10-K, and incorporated by reference herein, and upon the authority of such firm
as experts in accounting and auditing.
 
                                       20
<PAGE>   22
 
                PART II. INFORMATION NOT REQUIRED IN PROSPECTUS
 
ITEM 14. Other Expenses of Issuance and Distribution.
 
<TABLE>
<S>                                                           <C>
SEC registration fee........................................  $ 55,600
Trustee, transfer agent and registrar fees and expenses.....    12,000*
Printing and engraving fees.................................    10,000*
Legal fees and expenses.....................................   150,000*
Blue Sky fees and expenses..................................    10,000*
Accounting fees and expenses................................    25,000*
Rating agency fees..........................................   195,000*
Miscellaneous...............................................     9,500*
                                                              --------
  Total.....................................................  $467,100*
                                                              ========
</TABLE>
 
- ---------------------------
* Estimated
 
ITEM 15. Indemnification of Directors and Officers.
 
     Under the Delaware General Corporation Law ("DGCL"), a corporation is
permitted to indemnify any person who was or is a party or is threatened to be
made a party to any threatened, pending or completed action, suit or proceeding,
whether civil, criminal, administrative or investigative (other than an action
by or in the right of the corporation) by reason of the fact that the person is
or was a director, officer, employee or agent of the corporation, or is or was
serving at the request of the corporation as a director, officer, employee or
agent of another corporation, partnership, joint venture, trust or other
enterprise (including employee benefit plans), against expenses (including
attorney's fees), judgments, fines and amounts paid in settlement actually and
reasonably incurred by the person in connection with such action, suit or
proceeding if the person acted in good faith and in a manner the person
reasonably believed to be in or not opposed to the best interests of the
corporation, and, with respect to any criminal action or proceeding, had no
reasonable cause to believe the person's conduct was unlawful. However,
indemnity may not be granted in respect of a claim, issue or matter as to which
a person has been adjudged to be liable to the corporation unless and only to
the extent that the Delaware Court of Chancery or the court in which the action
or suit was brought has determined upon application that, despite the
adjudication of liability but in view of all the circumstances of the case, such
person is fairly and reasonably entitled to indemnity for such expenses as the
Court of Chancery or such other court deems proper. Expenses (including
attorneys' fees) incurred by an officer or director in defending any civil,
criminal, administrative or investigative action, suit or proceeding may be paid
by the corporation in advance of the final disposition of such action, suit or
proceeding if the corporation receives an undertaking by or on behalf of the
director or officer to repay such advances if it is ultimately determined that
the director or officer is not entitled to indemnification for such expenses.
Expenses may be advanced to any former officer or director or to any other
employee or agent of the corporation on such terms and conditions as the
corporation deems appropriate.
 
     If a present or former director or officer of a corporation has been
successful on the merits or otherwise in defense of any action, suit or
proceeding described in the preceding paragraph, or in defense of any claim,
issue or matter therein, the corporation is required to indemnify such person
against expenses (including attorney's fees) actually and reasonably incurred by
such person in connection therewith.
 
     The Registrant's Amended and Restated Certificate of Incorporation provides
for indemnification and exculpation of the directors and officers of the
Registrant to the extent permitted under the DGCL as described above.
 
     The Registrant maintains a full directors' and officers' liability policy
to cover the Registrant and its directors and officers for amounts, subject to
policy limits, that the Registrant may be required to pay by
 
                                      II-1
<PAGE>   23
 
way of indemnification to its directors or officers under its Amended and
Restated Certificate of Incorporation or by-laws or otherwise and for the
protection of individual directors and officers from losses and liabilities for
which they may not be indemnified by the Registrant.
 
     The forms of Underwriting Agreement to be included as Exhibits 1(a) and
1(b) hereto provide for indemnification of directors, certain officers and
controlling persons of the Registrant against certain liabilities, including
liabilities under the Securities Act of 1933, as amended.
 
ITEM 16. Exhibits.
 
<TABLE>
<CAPTION>
EXHIBIT
  NO.                               EXHIBIT
- -------                             -------
<C>       <S>
   1      Form of Underwriting Agreement.*
   3(i)   Amended and Restated Certificate of Incorporation,
          incorporated by reference to Exhibit 3.1 to the Registrant's
          Quarterly Report on Form 10-Q for the quarter ended March
          31, 1998, filed with the Commission on May 15, 1998 (File
          No. 001-13094).
   3(ii)  By-Laws of the Registrant incorporated by reference to
          Exhibit 3 to the Registrant's Quarterly Report on Form 10-Q
          for the quarter ended June 30, 1997, filed with the
          Commission on August 14, 1997 (File No. 001-13094).
   4(a)   Form of Senior Indenture.*
   4(b)   Form of Senior Debt Security (filed by reference to Article
          Two of Exhibit 4(a)).*
   4(c)   Form of Subordinated Indenture.*
   4(d)   Form of Subordinated Debt Security (filed by reference to
          Article Two of Exhibit 4(c)).*
   5      Opinion of Sullivan & Cromwell regarding the validity of the
          debt securities.*
  12      Statement regarding computation of ratios of earnings to
          fixed charges.*
  23(a)   Consent of Sullivan & Cromwell (filed by reference to
          Exhibit 5).*
  23(b)   Consent of KPMG LLP.
  24      Powers of Attorney.
  25      Form T-1*
</TABLE>
 
- ---------------------------
 
*  To be filed by amendment.
 
ITEM 17. Undertakings.
 
     (a) The undersigned Registrant hereby undertakes:
 
          (1) To file, during any period in which offers or sales are being
     made, a post-effective amendment to this registration statement:
 
             (i) To include any prospectus required by Section 10(a)(3) of the
        Securities Act of 1933;
 
             (ii) To reflect in the prospectus any facts or events arising after
        the effective date of the registration statement (or the most recent
        post-effective amendment thereof) which, individually or in the
        aggregate, represent a fundamental change in the information set forth
        in the registration statement. Notwithstanding the foregoing, any
        increase or decrease in the volume of securities offered (if the total
        dollar value of securities offered would not exceed that which was
        registered) and any deviation from the low or high end of the estimated
        maximum offering range may be reflected in the form of prospectus filed
        with the SEC pursuant to Rule 424(b) if, in the aggregate, the changes
        in volume and price represent no more than 20% change in the maximum
        aggregate offering price set forth in the "Calculation of Registration
        Fee" table in the effective registration statement.
 
                                      II-2
<PAGE>   24
 
             (iii) To include any material information with respect to the plan
        of distribution not previously disclosed in the registration statement
        or any material change to such information in the registration
        statement;
 
provided, however, that paragraphs (a)(1)(i) and (a)(1)(ii) do not apply if the
information required to be included in a post-effective amendment by those
paragraphs is contained in periodic reports filed with or furnished to the SEC
by the registrant pursuant to Section 13 or Section 15(d) of the Securities
Exchange Act of 1934 that are incorporated by reference in the registration
statement.
 
          (2) That, for the purpose of determining any liability under the
     Securities Act of 1933, each such post-effective amendment shall be deemed
     to be a new registration statement relating to the securities offered
     therein, and the offering of such securities at that time shall be deemed
     to be the initial bona fide offering thereof.
 
          (3) To remove from registration by means of a post-effective amendment
     any of the securities being registered which remain unsold at the
     termination of the offering.
 
     (b) The undersigned Registrant hereby undertakes that, for purposes of
determining any liability under the Securities Act of 1933, each filing of the
Registrant's annual report pursuant to Section 13(a) or Section 15(d) of the
Securities Exchange Act of 1934 that is incorporated by reference in the
registration statement shall be deemed to be a new registration statement
relating to the securities offered therein, and the offering of such securities
at that time shall be deemed to be the initial bona fide offering thereof.
 
     (c) Insofar as indemnification for liabilities arising under the Securities
Act of 1933 may be permitted to directors, officers and controlling persons of
the Registrant pursuant to the foregoing provisions, or otherwise, the
Registrant has been advised that in the opinion of the SEC such indemnification
is against public policy as expressed in the Securities Act of 1933 and is,
therefore, unenforceable. In the event that a claim for indemnification against
such liabilities (other than the payment by the Registrant of expenses incurred
or paid by a director, officer or controlling person of the Registrant in the
successful defense of any action, suit or proceeding) is asserted by such
director, officer or controlling person in connection with the securities being
registered, the Registrant will, unless in the opinion of its counsel the matter
has been settled by controlling precedent, submit to a court of appropriate
jurisdiction the question of whether such indemnification by it is against
public policy as expressed in the Securities Act of 1933 and will be governed by
the final adjudication of such issue.
 
     (d) The undersigned Registrant hereby undertakes to cause to be filed an
application for the purpose of determining the eligibility of the trustee in
respect of the senior indenture and the subordinated indenture to act under
subsection (a) of Section 310 of the Trust Indenture Act in accordance with the
rules and regulations prescribed by the SEC under Section 305(b)(2) of the Trust
Indenture Act.
 
                                      II-3
<PAGE>   25
 
                                   SIGNATURES
 
     Pursuant to the requirements of the Securities Act of 1933, the registrant
certifies that it has reasonable grounds to believe that it meets all of the
requirements for filing on Form S-3 and has duly caused this registration
statement to be signed on its behalf by the undersigned, thereunto duly
authorized, in The City of New York, State of New York, on May 10, 1999.
 
                                                  DIME BANCORP, INC.
 
                                                  By  /s/ LAWRENCE J. TOAL
                                                   -----------------------------
                                                        (Lawrence J. Toal)
                                                      (Chairman of the Board,
                                                           President and
                                                   Chief Executive Officer and a
                                                             Director)
 
     Pursuant to the requirements of the Securities Act of 1933, this
registration statement has been signed by the following persons in the
capacities indicated all as of May 10, 1999.
 
<TABLE>
<CAPTION>
                SIGNATURE                                         TITLE
                ---------                                         -----
<C>                                           <S>
 
           /s/ LAWRENCE J. TOAL               Chairman of the Board, President and Chief
- ------------------------------------------    Executive Officer and a Director (Principal
            (LAWRENCE J. TOAL)                Executive Officer)
 
         /s/ ANTHONY R. BURRIESCI             Chief Financial Officer (Principal Financial
- ------------------------------------------    Officer)
          (ANTHONY R. BURRIESCI)
 
           /s/ JOHN F. KENNEDY                Controller (Principal Accounting Officer)
- ------------------------------------------
            (JOHN F. KENNEDY)
 
                    *                         A Director
- ------------------------------------------
           (DERRICK D. CEPHAS)
 
                    *                         A Director
- ------------------------------------------
           (FREDERICK C. CHEN)
 
                    *                         A Director
- ------------------------------------------
         (J. BARCLAY COLLINS II)
 
                    *                         A Director
- ------------------------------------------
          (RICHARD W. DALRYMPLE)
 
                    *                         A Director
- ------------------------------------------
            (JAMES F. FULTON)
 
                    *                         A Director
- ------------------------------------------
             (FRED B. KOONS)
</TABLE>
 
                                      II-4
<PAGE>   26
 
<TABLE>
<CAPTION>
                SIGNATURE                                         TITLE
                ---------                                         -----
<C>                                           <S>
 
                    *                         A Director
- ------------------------------------------
            (VIRGINIA M. KOPP)
 
                    *                         A Director
- ------------------------------------------
          (JAMES M. LARGE, JR.)
 
                    *                         A Director
- ------------------------------------------
              (JOHN MORNING)
 
                    *                         A Director
- ------------------------------------------
         (MARGARET OSMER-MCQUADE)
 
                    *                         A Director
- ------------------------------------------
         (SALLY HERNANDEZ-PINERO)
 
                    *                         A Director
- ------------------------------------------
          (DR. PAUL A. QUALBEN)
 
                    *                         A Director
- ------------------------------------------
         (EUGENE G. SCHULZ, JR.)
 
                    *                         A Director
- ------------------------------------------
              (HOWARD SMITH)
 
                    *                         A Director
- ------------------------------------------
          (DR. NORMAN R. SMITH)
 
                    *                         A Director
- ------------------------------------------
             (IRA T. WENDER)
 
        *By: /s/ LAWRENCE J. TOAL
   ------------------------------------
            (LAWRENCE J. TOAL)
             ATTORNEY-IN-FACT
</TABLE>
 
                                      II-5
<PAGE>   27
 
<TABLE>
<CAPTION>
EXHIBIT
  NO.                               EXHIBIT
- -------                             -------
<C>       <S>
   1      Form of Underwriting Agreement.*
   3(i)   Amended and Restated Certificate of Incorporation,
          incorporated by reference to Exhibit 3.1 to the Registrant's
          Quarterly Report on Form 10-Q for the quarter ended March
          31, 1998, filed with the Commission on May 15, 1998 (File
          No. 001-13094).
   3(ii)  By-Laws of the Registrant incorporated by reference to
          Exhibit 3 to the Registrant's Quarterly Report on Form 10-Q
          for the quarter ended June 30, 1997, filed with the
          Commission on August 14, 1997 (File No. 001-13094).
   4(a)   Form of Senior Indenture.*
   4(b)   Form of Senior Debt Security (filed by reference to Article
          Two of Exhibit 4(a)).*
   4(c)   Form of Subordinated Indenture.*
   4(d)   Form of Subordinated Debt Security (filed by reference to
          Article Two of Exhibit 4(c)).*
   5      Opinion of Sullivan & Cromwell regarding the validity of the
          debt securities.*
  12      Statement regarding computation of ratios of earnings to
          fixed charges.*
  23(a)   Consent of Sullivan & Cromwell (filed by reference to
          Exhibit 5).*
  23(b)   Consent of KPMG LLP.
  24      Powers of Attorney.
  25      Form T-1*
</TABLE>
 
- ---------------------------
 
*  To be filed by amendment.

<PAGE>   1
 
                                                                   EXHIBIT 23(b)
 
                         INDEPENDENT AUDITORS' CONSENT
 
The Board of Directors and Shareholders
Dime Bancorp, Inc.:
 
We consent to the use of our report dated January 21, 1999, incorporated by
reference in the Registration Statement on Form S-3 of Dime Bancorp, Inc.,
relating to our audit of the consolidated statements of financial condition of
Dime Bancorp, Inc. and subsidiaries as of December 31, 1998 and 1997, and the
related consolidated statements of income, changes in stockholders' equity, cash
flows and comprehensive income for each of the years in the three-year period
ended December 31, 1998, which report appears in the Dime Bancorp, Inc. Annual
Report on Form 10-K for the year ended December 31, 1998, and to the reference
to our firm under the heading "Experts" in the Registration Statement.
 
/s/ KPMG LLP
 
New York, New York
May 7, 1999

<PAGE>   1
 
                                                                      EXHIBIT 24
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
              /s/ JAMES M. LARGE, JR.                                  Director                    May 7, 1999
- ---------------------------------------------------
                James M. Large, Jr.
</TABLE>
<PAGE>   2
 
                               POWER OF ATTORNEY
 
     The undersigned hereby appoints James E. Kelly as his true and lawful
attorney-in-fact and agent, for him and in his name, place and stead, in any and
all capacities, to execute a Registration Statement on Form S-3 relating to the
shelf registration of debt securities (the "Registration Statement") of Dime
Bancorp, Inc., and any and all amendments to such Registration Statement and to
file the same, with all exhibits thereto and other documents in connection
therewith, with the Securities and Exchange Commission, granting to such
attorney-in-fact and agent full power and authority to do and perform each and
every act and thing requisite and necessary to be done in connection with such
Registration Statement, as fully to all intents and purposes as he might or
could do in person, and does hereby ratify and confirm all that such
attorney-in-fact and agent may lawfully do or cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                TITLE               DATE
                     ---------                                -----               ----
<S>                                                  <C>                       <C>
 
               /s/ LAWRENCE J. TOAL                   Chairman of the Board,   May 7, 1999
- ---------------------------------------------------  Chief Executive Officer,
                 Lawrence J. Toal                     President and Director
</TABLE>
<PAGE>   3
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
               /s/ DERRICK D. CEPHAS                                   Director                    May 7, 1999
- ---------------------------------------------------
                 Derrick D. Cephas
</TABLE>
<PAGE>   4
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
               /s/ FREDERICK C. CHEN                                   Director                    May 7, 1999
- ---------------------------------------------------
                 Frederick C. Chen
</TABLE>
<PAGE>   5
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
             /s/ J. BARCLAY COLLINS II                                 Director                    May 7, 1999
- ---------------------------------------------------
               J. Barclay Collins II
</TABLE>
<PAGE>   6
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
             /s/ RICHARD W. DALRYMPLE                                  Director                    May 7, 1999
- ---------------------------------------------------
               Richard W. Dalrymple
</TABLE>
<PAGE>   7
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
                /s/ JAMES F. FULTON                                    Director                    May 7, 1999
- ---------------------------------------------------
                  James F. Fulton
</TABLE>
<PAGE>   8
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
               /s/ VIRGINIA M. KOPP                                    Director                    May 7, 1999
- ---------------------------------------------------
                 Virginia M. Kopp
</TABLE>
<PAGE>   9
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
                 /s/ JOHN MORNING                                      Director                    May 7, 1999
- ---------------------------------------------------
                   John Morning
</TABLE>
<PAGE>   10
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
            /s/ MARGARET OSMER-MCQUADE                                 Director                    May 7, 1999
- ---------------------------------------------------
              Margaret Osmer-McQuade
</TABLE>
<PAGE>   11
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
            /s/ SALLY HERNANDEZ-PINERO                                 Director                    May 7, 1999
- ---------------------------------------------------
              Sally Hernandez-Pinero
</TABLE>
<PAGE>   12
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
                /s/ PAUL A. QUALBEN                                    Director                    May 7, 1999
- ---------------------------------------------------
                  Paul A. Qualben
</TABLE>
<PAGE>   13
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
             /s/ EUGENE G. SCHULZ, JR.                                 Director                    May 7, 1999
- ---------------------------------------------------
               Eugene G. Schulz, Jr.
</TABLE>
<PAGE>   14
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
                 /s/ HOWARD SMITH                                      Director                    May 7, 1999
- ---------------------------------------------------
                   Howard Smith
</TABLE>
<PAGE>   15
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
                /s/ NORMAN R. SMITH                                    Director                    May 7, 1999
- ---------------------------------------------------
                  Norman R. Smith
</TABLE>
<PAGE>   16
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
                 /s/ IRA T. WENDER                                     Director                    May 7, 1999
- ---------------------------------------------------
                   Ira T. Wender
</TABLE>
<PAGE>   17
 
                               POWER OF ATTORNEY
 
     The undersigned hereby constitutes and appoints Lawrence J. Toal and James
E. Kelly, or either of them acting alone, each with the full power of
substitution and resubstitution, as his true and lawful attorney-in-fact and
agent, for him and in his name, place and stead, in any and all capacities, to
execute a Registration Statement on Form S-3 relating to the shelf registration
of debt securities (the "Registration Statement") of Dime Bancorp, Inc., and any
and all amendments to such Registration Statement and to file the same, with all
exhibits thereto and other documents in connection therewith, with the
Securities and Exchange Commission, granting to such attorney-in-fact and agent
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in connection with such Registration
Statement, as fully to all intents and purposes as he might or could do in
person, and does hereby ratify and confirm all that such attorney-in-fact and
agent, or their respective substitutes or resubstitutes, may lawfully do or
cause to be done by virtue hereof.
 
<TABLE>
<CAPTION>
                     SIGNATURE                                          TITLE                         DATE
                     ---------                                          -----                         ----
<S>                                                                <C>                             <C>
 
                 /s/ FRED B. KOONS                                     Director                    May 7, 1999
- ---------------------------------------------------
                   Fred B. Koons
</TABLE>


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