I have got ILR on May 4 2012. Can I eligible to apply for naturalisation before 28 days of my eligibility? Please let me know if anybody knows about it.

Found this site very useful. Just followed from few days.. Thought of updating my details which helps for the data base excels sheet.
Applied ILR on 9-01-2012
Got acknowledgement on 18-01-2012 dated 11th jan
IlR received 24-05-2012
Ilr stamped in Liverpool - 04-05-2012
Total days 18 weeks 4 days