Here is one way to find it:
var now = new DateTime.now();
// Find the last day of the month.
var beginningNextMonth = (now.month < 12) ? new DateTime(now.year, now.month + 1, 1) : new DateTime(now.year + 1, 1, 1);
var lastDay = beginningNextMonth.subtract(new Duration(days: 1)).day;
print(lastDay); // 28 for February
I have the current date, so I create the first day of the next month, and then subtract one day from it. I also take into account the change in the year.
Update: Here's a slightly shorter code for the same thing, but inspired by Chris zero-trick:
var now = new DateTime.now();
// Find the last day of the month.
var lastDayDateTime = (now.month < 12) ? new DateTime(now.year, now.month + 1, 0) : new DateTime(now.year + 1, 1, 0);
print(lastDayDateTime.day); // 28 for February
/, (, ).