256728744 has 32 divisors (see below), whose sum is σ = 713136000. Its totient is φ = 85576176.

The previous prime is 256728739. The next prime is 256728803. The reversal of 256728744 is 447827652.

It is a happy number.

256728744 is a `hidden beast` number, since 2 + 567 + 2 + 87 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 256728744.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594064 + ... + 594495.

It is an arithmetic number, because the mean of its divisors is an integer number (22285500).

Almost surely, 2^256728744 is an apocalyptic number.

256728744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256728744 is an abundant number, since it is smaller than the sum of its proper divisors (456407256).

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

256728744 is a wasteful number, since it uses less digits than its factorization.

256728744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188574 (or 1188564 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 256728744 is about 16022.7570661232. The cubic root of 256728744 is about 635.5623546652.

It can be divided in two parts, 256 and 728744, that added together give a cube (729000 = 90³).

The spelling of 256728744 in words is "two hundred fifty-six million, seven hundred twenty-eight thousand, seven hundred forty-four".