257928 has 32 divisors (see below), whose sum is σ = 704160. Its totient is φ = 78080.

The previous prime is 257921. The next prime is 257947. The reversal of 257928 is 829752.

257928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (257921) by changing a digit.

257928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 225 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (22005).

2²⁵⁷⁹²⁸ is an apocalyptic number.

It is an amenable number.

257928 is an abundant number, since it is smaller than the sum of its proper divisors (446232).

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

257928 is a wasteful number, since it uses less digits than its factorization.

257928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 257928 is about 507.8661240918. The cubic root of 257928 is about 63.6550451027.

The spelling of 257928 in words is "two hundred fifty-seven thousand, nine hundred twenty-eight".