728832 has 72 divisors (see below), whose sum is σ = 2117584. Its totient is φ = 221184.

The previous prime is 728831. The next prime is 728837. The reversal of 728832 is 238827.

It is a self number, because there is not a number n which added to its sum of digits gives 728832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9948 + ... + 10020.

2⁷²⁸⁸³² 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 728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058792).

728832 is an abundant number, since it is smaller than the sum of its proper divisors (1388752).

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

728832 is a wasteful number, since it uses less digits than its factorization.

728832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 728832 is about 853.7165806051. The cubic root of 728832 is about 89.9930858886.

The spelling of 728832 in words is "seven hundred twenty-eight thousand, eight hundred thirty-two".