257228928000 has 1056 divisors, whose sum is σ = 1032980262912. Its totient is φ = 61022208000.

The previous prime is 257228927983. The next prime is 257228928017. The reversal of 257228928000 is 829822752.

257228928000 is a `hidden beast` number, since 25 + 72 + 289 + 280 + 0 + 0 = 666.

257228928000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257228927983) and next prime (257228928017).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671615809 + ... + 671616191.

Almost surely, 2^257228928000 is an apocalyptic number.

257228928000 is a gapful number since it is divisible by the number (20) 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 257228928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516490131456).

257228928000 is an abundant number, since it is smaller than the sum of its proper divisors (775751334912).

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

257228928000 is a wasteful number, since it uses less digits than its factorization.

257228928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 257228928000 in words is "two hundred fifty-seven billion, two hundred twenty-eight million, nine hundred twenty-eight thousand".