257039328 has 96 divisors (see below), whose sum is σ = 830462976. Its totient is φ = 67788288.

The previous prime is 257039327. The next prime is 257039357. The reversal of 257039328 is 823930752.

257039328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×257039328² = 132138432277383168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257039327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5976 + ... + 23447.

It is an arithmetic number, because the mean of its divisors is an integer number (8650656).

Almost surely, 2^257039328 is an apocalyptic number.

257039328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257039328 is an abundant number, since it is smaller than the sum of its proper divisors (573423648).

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

257039328 is a wasteful number, since it uses less digits than its factorization.

257039328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29456 (or 29448 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 257039328 is about 16032.4461015779. The cubic root of 257039328 is about 635.8185471837.

The spelling of 257039328 in words is "two hundred fifty-seven million, thirty-nine thousand, three hundred twenty-eight".