508825728 has 96 divisors (see below), whose sum is σ = 1482998400. Its totient is φ = 167431680.

The previous prime is 508825717. The next prime is 508825729. The reversal of 508825728 is 827528805.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (508825729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88213 + ... + 93803.

It is an arithmetic number, because the mean of its divisors is an integer number (15447900).

Almost surely, 2^508825728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741499200).

508825728 is an abundant number, since it is smaller than the sum of its proper divisors (974172672).

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

508825728 is a wasteful number, since it uses less digits than its factorization.

508825728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 508825728 is about 22557.1657794148. The cubic root of 508825728 is about 798.3433049033.

The spelling of 508825728 in words is "five hundred eight million, eight hundred twenty-five thousand, seven hundred twenty-eight".