27881152 has 112 divisors (see below), whose sum is σ = 65544192. Its totient is φ = 11658240.

The previous prime is 27881149. The next prime is 27881167. The reversal of 27881152 is 25118872.

It is a cake number, because a cake can be divided into 27881152 parts by 551 planar cuts.

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, 593193 + ... + 593239.

It is an arithmetic number, because the mean of its divisors is an integer number (585216).

Almost surely, 2^27881152 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 27881152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32772096).

27881152 is an abundant number, since it is smaller than the sum of its proper divisors (37663040).

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

27881152 is a wasteful number, since it uses less digits than its factorization.

27881152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 8960, while the sum is 34.

The square root of 27881152 is about 5280.2605996295. The cubic root of 27881152 is about 303.2286539197.

The spelling of 27881152 in words is "twenty-seven million, eight hundred eighty-one thousand, one hundred fifty-two".