257128088 has 48 divisors (see below), whose sum is σ = 562350600. Its totient is φ = 109898880.

The previous prime is 257128087. The next prime is 257128093. The reversal of 257128088 is 880821752.

It is a super-2 number, since 2×257128088² = 132229707277071488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257128087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203603 + ... + 204861.

Almost surely, 2^257128088 is an apocalyptic number.

257128088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257128088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281175300).

257128088 is an abundant number, since it is smaller than the sum of its proper divisors (305222512).

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

257128088 is a wasteful number, since it uses less digits than its factorization.

257128088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 41.

The square root of 257128088 is about 16035.2139991956. The cubic root of 257128088 is about 635.8917250380.

The spelling of 257128088 in words is "two hundred fifty-seven million, one hundred twenty-eight thousand, eighty-eight".