27688032 has 72 divisors (see below), whose sum is σ = 79462656. Its totient is φ = 9144576.

The previous prime is 27688027. The next prime is 27688033. The reversal of 27688032 is 23088672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27688033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36198 + ... + 36954.

It is an arithmetic number, because the mean of its divisors is an integer number (1103648).

Almost surely, 2^27688032 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 27688032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39731328).

27688032 is an abundant number, since it is smaller than the sum of its proper divisors (51774624).

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

27688032 is a wasteful number, since it uses less digits than its factorization.

27688032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 889 counting only the distinct ones).

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

The square root of 27688032 is about 5261.9418468850. The cubic root of 27688032 is about 302.5269224496.

The spelling of 27688032 in words is "twenty-seven million, six hundred eighty-eight thousand, thirty-two".