27713880 has 128 divisors (see below), whose sum is σ = 94003200. Its totient is φ = 7261056.

The previous prime is 27713863. The next prime is 27713891. The reversal of 27713880 is 8831772.

27713880 is a `hidden beast` number, since 277 + 1 + 388 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72169 + ... + 72551.

It is an arithmetic number, because the mean of its divisors is an integer number (734400).

Almost surely, 2^27713880 is an apocalyptic number.

27713880 is a gapful number since it is divisible by the number (20) 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 27713880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001600).

27713880 is an abundant number, since it is smaller than the sum of its proper divisors (66289320).

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

27713880 is a wasteful number, since it uses less digits than its factorization.

27713880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 27713880 is about 5264.3974014126. The cubic root of 27713880 is about 302.6210339151.

The spelling of 27713880 in words is "twenty-seven million, seven hundred thirteen thousand, eight hundred eighty".