27131328 has 112 divisors (see below), whose sum is σ = 91196160. Its totient is φ = 7748352.

The previous prime is 27131309. The next prime is 27131339. The reversal of 27131328 is 82313172.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×27131328² = 1472217918087168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10975 + ... + 13217.

Almost surely, 2^27131328 is an apocalyptic number.

27131328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45598080).

27131328 is an abundant number, since it is smaller than the sum of its proper divisors (64064832).

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

27131328 is a wasteful number, since it uses less digits than its factorization.

27131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2255 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 27131328 is about 5208.7741360132. The cubic root of 27131328 is about 300.4856135076.

The spelling of 27131328 in words is "twenty-seven million, one hundred thirty-one thousand, three hundred twenty-eight".