Project Euler/12

The question

Triangle numbers are numbers generated by summing the first n integers, i.e., 1 + 2 + 3 + ... + n

The first ten triangle numbers are:

1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ...

Let us list the factors of the first seven triangle numbers:

    1: 1
    3: 1,3
    6: 1,2,3,6
   10: 1,2,5,10
   15: 1,3,5,15
   21: 1,3,7,21
   28: 1,2,4,7,14,28

We can see that 28 is the first triangle number to have over five divisors.

What is the value of the first triangle number to have over five hundred divisors?