509928 has 16 divisors (see below), whose sum is σ = 1274880. Its totient is φ = 169968.

The previous prime is 509921. The next prime is 509939. The reversal of 509928 is 829905.

It is not an unprimeable number, because it can be changed into a prime (509921) by changing a digit.

509928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10600 + ... + 10647.

It is an arithmetic number, because the mean of its divisors is an integer number (79680).

2⁵⁰⁹⁹²⁸ is an apocalyptic number.

It is an amenable number.

509928 is an abundant number, since it is smaller than the sum of its proper divisors (764952).

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

509928 is a wasteful number, since it uses less digits than its factorization.

509928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21256 (or 21252 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 509928 is about 714.0924309920. The cubic root of 509928 is about 79.8919374301.

The spelling of 509928 in words is "five hundred nine thousand, nine hundred twenty-eight".