504368928 has 144 divisors (see below), whose sum is σ = 1695919680. Its totient is φ = 139120128.

The previous prime is 504368861. The next prime is 504368939. The reversal of 504368928 is 829863405.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54151 + ... + 62777.

It is an arithmetic number, because the mean of its divisors is an integer number (11777220).

Almost surely, 2^504368928 is an apocalyptic number.

504368928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504368928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847959840).

504368928 is an abundant number, since it is smaller than the sum of its proper divisors (1191550752).

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

504368928 is a wasteful number, since it uses less digits than its factorization.

504368928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8679 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 504368928 is about 22458.1594971627. The cubic root of 504368928 is about 796.0055722109.

The spelling of 504368928 in words is "five hundred four million, three hundred sixty-eight thousand, nine hundred twenty-eight".