257353728 has 48 divisors (see below), whose sum is σ = 686125440. Its totient is φ = 85782528.

The previous prime is 257353721. The next prime is 257353741. The reversal of 257353728 is 827353752.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 257353728.

It is not an unprimeable number, because it can be changed into a prime (257353721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14800 + ... + 27087.

It is an arithmetic number, because the mean of its divisors is an integer number (14294280).

Almost surely, 2^257353728 is an apocalyptic number.

It is an amenable number.

257353728 is an abundant number, since it is smaller than the sum of its proper divisors (428771712).

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

257353728 is an equidigital number, since it uses as much as digits as its factorization.

257353728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41912 (or 41892 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 257353728 is about 16042.2482214931. The cubic root of 257353728 is about 636.0776773129.

The spelling of 257353728 in words is "two hundred fifty-seven million, three hundred fifty-three thousand, seven hundred twenty-eight".