256375728 has 120 divisors (see below), whose sum is σ = 825447168. Its totient is φ = 72763776.

The previous prime is 256375699. The next prime is 256375729. The reversal of 256375728 is 827573652.

256375728 is a `hidden beast` number, since 2 + 5 + 637 + 5 + 7 + 2 + 8 = 666.

256375728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256375729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167575 + ... + 169097.

Almost surely, 2^256375728 is an apocalyptic number.

256375728 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 256375728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412723584).

256375728 is an abundant number, since it is smaller than the sum of its proper divisors (569071440).

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

256375728 is a wasteful number, since it uses less digits than its factorization.

256375728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1702 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 256375728 is about 16011.7371949455. The cubic root of 256375728 is about 635.2709100939.

The spelling of 256375728 in words is "two hundred fifty-six million, three hundred seventy-five thousand, seven hundred twenty-eight".