252728056 has 64 divisors (see below), whose sum is σ = 559457280. Its totient is φ = 104768640.

The previous prime is 252728039. The next prime is 252728057. The reversal of 252728056 is 650827252.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252728057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586161 + ... + 586591.

It is an arithmetic number, because the mean of its divisors is an integer number (8741520).

Almost surely, 2^252728056 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 252728056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279728640).

252728056 is an abundant number, since it is smaller than the sum of its proper divisors (306729224).

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

252728056 is a wasteful number, since it uses less digits than its factorization.

252728056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 252728056 is about 15897.4229358094. The cubic root of 252728056 is about 632.2436637226.

The spelling of 252728056 in words is "two hundred fifty-two million, seven hundred twenty-eight thousand, fifty-six".