728087632 has 40 divisors (see below), whose sum is σ = 1475102016. Its totient is φ = 347483136.

The previous prime is 728087629. The next prime is 728087663. The reversal of 728087632 is 236780827.

728087632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×728087632² = 1060223199742734848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199488 + ... + 203104.

Almost surely, 2^728087632 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 728087632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737551008).

728087632 is an abundant number, since it is smaller than the sum of its proper divisors (747014384).

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

728087632 is a wasteful number, since it uses less digits than its factorization.

728087632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 728087632 is about 26983.0990066004. The cubic root of 728087632 is about 899.6243831751.

The spelling of 728087632 in words is "seven hundred twenty-eight million, eighty-seven thousand, six hundred thirty-two".