959728 has 80 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 345600.

The previous prime is 959723. The next prime is 959737. The reversal of 959728 is 827959.

959728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (45360) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (959723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23388 + ... + 23428.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁹⁵⁹⁷²⁸ 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 959728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

959728 is an abundant number, since it is smaller than the sum of its proper divisors (1540112).

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

959728 is a wasteful number, since it uses less digits than its factorization.

959728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 45360, while the sum is 40.

The square root of 959728 is about 979.6570828611. The cubic root of 959728 is about 98.6391652920.

Subtracting from 959728 its reverse (827959), we obtain a square (131769 = 363²).

The spelling of 959728 in words is "nine hundred fifty-nine thousand, seven hundred twenty-eight".