252937728 has 240 divisors, whose sum is σ = 804323520. Its totient is φ = 79128576.

The previous prime is 252937721. The next prime is 252937753. The reversal of 252937728 is 827739252.

252937728 is a `hidden beast` number, since 252 + 9 + 377 + 28 = 666.

252937728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252937721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2363851 + ... + 2363957.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^252937728 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 252937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

252937728 is an abundant number, since it is smaller than the sum of its proper divisors (551385792).

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

252937728 is an equidigital number, since it uses as much as digits as its factorization.

252937728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 252937728 is about 15904.0160965713. The cubic root of 252937728 is about 632.4184591827.

The spelling of 252937728 in words is "two hundred fifty-two million, nine hundred thirty-seven thousand, seven hundred twenty-eight".