252625728 has 112 divisors (see below), whose sum is σ = 704088000. Its totient is φ = 79822848.

The previous prime is 252625687. The next prime is 252625741. The reversal of 252625728 is 827526252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328128 + ... + 328896.

It is an arithmetic number, because the mean of its divisors is an integer number (6286500).

Almost surely, 2^252625728 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 252625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352044000).

252625728 is an abundant number, since it is smaller than the sum of its proper divisors (451462272).

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

252625728 is a wasteful number, since it uses less digits than its factorization.

252625728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 252625728 is about 15894.2042266985. The cubic root of 252625728 is about 632.1583217094.

The spelling of 252625728 in words is "two hundred fifty-two million, six hundred twenty-five thousand, seven hundred twenty-eight".