27728632 has 32 divisors (see below), whose sum is σ = 56833920. Its totient is φ = 12625920.

The previous prime is 27728629. The next prime is 27728633. The reversal of 27728632 is 23682772.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27728591 and 27728600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27728633) 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, 928 + ... + 7504.

It is an arithmetic number, because the mean of its divisors is an integer number (1776060).

Almost surely, 2^27728632 is an apocalyptic number.

It is an amenable number.

27728632 is an abundant number, since it is smaller than the sum of its proper divisors (29105288).

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

27728632 is a wasteful number, since it uses less digits than its factorization.

27728632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631 (or 6627 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 27728632 is about 5265.7983250406. The cubic root of 27728632 is about 302.6747190916.

The spelling of 27728632 in words is "twenty-seven million, seven hundred twenty-eight thousand, six hundred thirty-two".