8728632 has 96 divisors (see below), whose sum is σ = 26282880. Its totient is φ = 2594880.

The previous prime is 8728627. The next prime is 8728649. The reversal of 8728632 is 2368278.

It is a happy number.

8728632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 8 + 7 + 2⁹ + 8³ + 6⁷ + 3¹⁰ + 2²³ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81523 + ... + 81629.

It is an arithmetic number, because the mean of its divisors is an integer number (273780).

Almost surely, 2^8728632 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 8728632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13141440).

8728632 is an abundant number, since it is smaller than the sum of its proper divisors (17554248).

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

8728632 is a wasteful number, since it uses less digits than its factorization.

8728632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8728632 is about 2954.4258325434. The cubic root of 8728632 is about 205.8963880244.

The spelling of 8728632 in words is "eight million, seven hundred twenty-eight thousand, six hundred thirty-two".