728756 has 24 divisors (see below), whose sum is σ = 1544256. Its totient is φ = 293760.

The previous prime is 728747. The next prime is 728771. The reversal of 728756 is 657827.

728756 is a modest number, since divided by 756 gives 728 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728756.

It is an unprimeable number.

728756 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, 290 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (64344).

2⁷²⁸⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

728756 is an abundant number, since it is smaller than the sum of its proper divisors (815500).

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

728756 is a wasteful number, since it uses less digits than its factorization.

728756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 728756 is about 853.6720681854. The cubic root of 728756 is about 89.9899577273.

The spelling of 728756 in words is "seven hundred twenty-eight thousand, seven hundred fifty-six".