252753028 has 72 divisors (see below), whose sum is σ = 510515712. Its totient is φ = 109296000.

The previous prime is 252753023. The next prime is 252753043. The reversal of 252753028 is 820357252.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 252752984 and 252753002.

It is not an unprimeable number, because it can be changed into a prime (252753023) 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 23 ways as a sum of consecutive naturals, for example, 932533 + ... + 932803.

It is an arithmetic number, because the mean of its divisors is an integer number (7090496).

Almost surely, 2^252753028 is an apocalyptic number.

It is an amenable number.

252753028 is an abundant number, since it is smaller than the sum of its proper divisors (257762684).

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

252753028 is a wasteful number, since it uses less digits than its factorization.

252753028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 252753028 is about 15898.2083267266. The cubic root of 252753028 is about 632.2644869862.

It can be divided in two parts, 2527 and 53028, that added together give a palindrome (55555).

The spelling of 252753028 in words is "two hundred fifty-two million, seven hundred fifty-three thousand, twenty-eight".