257783328 has 72 divisors (see below), whose sum is σ = 799724016. Its totient is φ = 78115200.

The previous prime is 257783311. The next prime is 257783381. The reversal of 257783328 is 823387752.

257783328 is a `hidden beast` number, since 257 + 78 + 3 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37518 + ... + 43853.

It is an arithmetic number, because the mean of its divisors is an integer number (11107278).

Almost surely, 2^257783328 is an apocalyptic number.

It is an amenable number.

257783328 is an abundant number, since it is smaller than the sum of its proper divisors (541940688).

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

257783328 is a wasteful number, since it uses less digits than its factorization.

257783328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81398 (or 81387 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 257783328 is about 16055.6322827848. The cubic root of 257783328 is about 636.4314149007.

It can be divided in two parts, 2577 and 83328, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 257783328 in words is "two hundred fifty-seven million, seven hundred eighty-three thousand, three hundred twenty-eight".