507728 has 20 divisors (see below), whose sum is σ = 1059828. Its totient is φ = 234240.

The previous prime is 507719. The next prime is 507743. The reversal of 507728 is 827705.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 446224 = 248^2 + 668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 507728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1013 + ... + 1428.

2⁵⁰⁷⁷²⁸ is an apocalyptic number.

It is an amenable number.

507728 is an abundant number, since it is smaller than the sum of its proper divisors (552100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

507728 is a wasteful number, since it uses less digits than its factorization.

507728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 507728 is about 712.5503490982. The cubic root of 507728 is about 79.7768782873.

The spelling of 507728 in words is "five hundred seven thousand, seven hundred twenty-eight".