257756928 has 144 divisors (see below), whose sum is σ = 806284416. Its totient is φ = 72069120.

The previous prime is 257756927. The next prime is 257756963. The reversal of 257756928 is 829657752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257756923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108651 + ... + 110997.

Almost surely, 2^257756928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257756928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403142208).

257756928 is an abundant number, since it is smaller than the sum of its proper divisors (548527488).

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

257756928 is a wasteful number, since it uses less digits than its factorization.

257756928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2376 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 51.

The square root of 257756928 is about 16054.8101203347. The cubic root of 257756928 is about 636.4096881750.

The spelling of 257756928 in words is "two hundred fifty-seven million, seven hundred fifty-six thousand, nine hundred twenty-eight".