252764928 has 288 divisors, whose sum is σ = 841310400. Its totient is φ = 74317824.

The previous prime is 252764927. The next prime is 252764951. The reversal of 252764928 is 829467252.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (483840) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (252764921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2605776 + ... + 2605872.

Almost surely, 2^252764928 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 252764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420655200).

252764928 is an abundant number, since it is smaller than the sum of its proper divisors (588545472).

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

252764928 is a wasteful number, since it uses less digits than its factorization.

252764928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 252764928 is about 15898.5825783307. The cubic root of 252764928 is about 632.2744094909.

The spelling of 252764928 in words is "two hundred fifty-two million, seven hundred sixty-four thousand, nine hundred twenty-eight".