513830728 has 32 divisors (see below), whose sum is σ = 975827160. Its totient is φ = 253624320.

The previous prime is 513830717. The next prime is 513830749. The reversal of 513830728 is 827038315.

It can be written as a sum of positive squares in 4 ways, for example, as 507060324 + 6770404 = 22518^2 + 2602^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496900 + ... + 497932.

Almost surely, 2^513830728 is an apocalyptic number.

It is an amenable number.

513830728 is a deficient number, since it is larger than the sum of its proper divisors (461996432).

513830728 is a wasteful number, since it uses less digits than its factorization.

513830728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 513830728 is about 22667.8346561819. The cubic root of 513830728 is about 800.9523699561.

The spelling of 513830728 in words is "five hundred thirteen million, eight hundred thirty thousand, seven hundred twenty-eight".