257127728 has 80 divisors (see below), whose sum is σ = 599774112. Its totient is φ = 105216000.

The previous prime is 257127713. The next prime is 257127757. The reversal of 257127728 is 827721752.

It is a super-2 number, since 2×257127728² = 132229337012883968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92438 + ... + 95178.

Almost surely, 2^257127728 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 257127728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299887056).

257127728 is an abundant number, since it is smaller than the sum of its proper divisors (342646384).

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

257127728 is a wasteful number, since it uses less digits than its factorization.

257127728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2808 counting only the distinct ones).

The product of its digits is 109760, while the sum is 41.

The square root of 257127728 is about 16035.2027738972. The cubic root of 257127728 is about 635.8914282713.

The spelling of 257127728 in words is "two hundred fifty-seven million, one hundred twenty-seven thousand, seven hundred twenty-eight".