257816328 has 64 divisors (see below), whose sum is σ = 803589120. Its totient is φ = 66964800.

The previous prime is 257816309. The next prime is 257816341. The reversal of 257816328 is 823618752.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 257816328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67908 + ... + 71603.

It is an arithmetic number, because the mean of its divisors is an integer number (12556080).

Almost surely, 2^257816328 is an apocalyptic number.

257816328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257816328 is an abundant number, since it is smaller than the sum of its proper divisors (545772792).

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

257816328 is a wasteful number, since it uses less digits than its factorization.

257816328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139538 (or 139534 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 257816328 is about 16056.6599266473. The cubic root of 257816328 is about 636.4585712219.

The spelling of 257816328 in words is "two hundred fifty-seven million, eight hundred sixteen thousand, three hundred twenty-eight".