II. IX. MCMLXXXVII
However, we don't normally express full dates in Roman numerals. Some countries, such as Portugal, use Roman numerals for the month alone (as in 2. IX. 1987), while film and TV productions often symbolise the year of production in Roman numerals in the end-credits. But never for a full date.
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September-XXIIII-MDCCCCLXXXXIII or Sept.-IXXV-XMMIII and not as Sept.-XXIV-MCMXCIII in the way that these numerals are wrongly arranged.
xiii SEPT MCMXCVIII
IX-XIII-MMX
The conventional conversion of 11th September 1998 into Roman numerals is XI-September-MCMXCVIII whether or not the Romans themselves enumerated it in this way is questionable.
XVIIII September MDCCCCLXXXV or IXX Sept. VXMM and it is not XIX Sept. MCMLXXXV the way that you may have been told or read.