728757 has 12 divisors (see below), whose sum is σ = 1092000. Its totient is φ = 485676.

The previous prime is 728747. The next prime is 728771. The reversal of 728757 is 757827.

It is not a de Polignac number, because 728757 - 2¹⁰ = 727733 is a prime.

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 728757.

It is not an unprimeable number, because it can be changed into a prime (728747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1257 + ... + 1742.

It is an arithmetic number, because the mean of its divisors is an integer number (91000).

2⁷²⁸⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

728757 is a deficient number, since it is larger than the sum of its proper divisors (363243).

728757 is an equidigital number, since it uses as much as digits as its factorization.

728757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3002 counting only the distinct ones).

The product of its digits is 27440, while the sum is 36.

The square root of 728757 is about 853.6726538902. The cubic root of 728757 is about 89.9899988887.

It can be divided in two parts, 728 and 757, that added together give a triangular number (1485 = T₅₄).

The spelling of 728757 in words is "seven hundred twenty-eight thousand, seven hundred fifty-seven".