27921312 has 72 divisors (see below), whose sum is σ = 80642016. Its totient is φ = 9161856.

The previous prime is 27921281. The next prime is 27921367. The reversal of 27921312 is 21312972.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18573 + ... + 20019.

It is an arithmetic number, because the mean of its divisors is an integer number (1120028).

Almost surely, 2^27921312 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 27921312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40321008).

27921312 is an abundant number, since it is smaller than the sum of its proper divisors (52720704).

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

27921312 is a wasteful number, since it uses less digits than its factorization.

27921312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1519 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 27921312 is about 5284.0620738216. The cubic root of 27921312 is about 303.3741742162.

The spelling of 27921312 in words is "twenty-seven million, nine hundred twenty-one thousand, three hundred twelve".