728957 has 4 divisors (see below), whose sum is σ = 739296. Its totient is φ = 718620.

The previous prime is 728953. The next prime is 728969. The reversal of 728957 is 759827.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 759827 = 659 ⋅1153.

It is a cyclic number.

It is not a de Polignac number, because 728957 - 2² = 728953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 728957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5063 + ... + 5204.

It is an arithmetic number, because the mean of its divisors is an integer number (184824).

2⁷²⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

728957 is a deficient number, since it is larger than the sum of its proper divisors (10339).

728957 is a wasteful number, since it uses less digits than its factorization.

728957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338.

The product of its digits is 35280, while the sum is 38.

The square root of 728957 is about 853.7897867742. The cubic root of 728957 is about 89.9982304179.

It can be divided in two parts, 728 and 957, that multiplied together give a palindrome (696696).

The spelling of 728957 in words is "seven hundred twenty-eight thousand, nine hundred fifty-seven".