256728 has 32 divisors (see below), whose sum is σ = 676800. Its totient is φ = 80928.

The previous prime is 256723. The next prime is 256757. The reversal of 256728 is 827652.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 256695 and 256704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256721) by changing a digit.

256728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (21150).

2²⁵⁶⁷²⁸ 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 256728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338400).

256728 is an abundant number, since it is smaller than the sum of its proper divisors (420072).

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

256728 is a wasteful number, since it uses less digits than its factorization.

256728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 587 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 256728 is about 506.6833330592. The cubic root of 256728 is about 63.5561740711.

The spelling of 256728 in words is "two hundred fifty-six thousand, seven hundred twenty-eight".