252872928 has 360 divisors, whose sum is σ = 948972024. Its totient is φ = 65318400.

The previous prime is 252872927. The next prime is 252872929. The reversal of 252872928 is 829278252.

It is an interprime number because it is at equal distance from previous prime (252872927) and next prime (252872929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252872923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1396998 + ... + 1397178.

Almost surely, 2^252872928 is an apocalyptic number.

252872928 is a gapful number since it is divisible by the number (28) 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 252872928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474486012).

252872928 is an abundant number, since it is smaller than the sum of its proper divisors (696099096).

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

252872928 is a wasteful number, since it uses less digits than its factorization.

252872928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 252872928 is about 15901.9787447978. The cubic root of 252872928 is about 632.3644482389.

The spelling of 252872928 in words is "two hundred fifty-two million, eight hundred seventy-two thousand, nine hundred twenty-eight".