257700128 has 24 divisors (see below), whose sum is σ = 579825792. Its totient is φ = 110442816.

The previous prime is 257700103. The next prime is 257700137. The reversal of 257700128 is 821007752.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 257700094 and 257700103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 575000 + ... + 575447.

It is an arithmetic number, because the mean of its divisors is an integer number (24159408).

Almost surely, 2^257700128 is an apocalyptic number.

257700128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257700128 is an abundant number, since it is smaller than the sum of its proper divisors (322125664).

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

257700128 is a wasteful number, since it uses less digits than its factorization.

257700128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150464 (or 1150456 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 257700128 is about 16053.0410826111. The cubic root of 257700128 is about 636.3629377655.

The spelling of 257700128 in words is "two hundred fifty-seven million, seven hundred thousand, one hundred twenty-eight".