27988164 has 54 divisors (see below), whose sum is σ = 73194030. Its totient is φ = 9017280.

The previous prime is 27988157. The next prime is 27988189. The reversal of 27988164 is 46188972.

It can be written as a sum of positive squares in only one way, i.e., 27123264 + 864900 = 5208^2 + 930^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34192 + ... + 35000.

It is an arithmetic number, because the mean of its divisors is an integer number (1355445).

Almost surely, 2^27988164 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 27988164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36597015).

27988164 is an abundant number, since it is smaller than the sum of its proper divisors (45205866).

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

27988164 is a wasteful number, since it uses less digits than its factorization.

27988164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 845 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 27988164 is about 5290.3841070380. The cubic root of 27988164 is about 303.6161041727.

The spelling of 27988164 in words is "twenty-seven million, nine hundred eighty-eight thousand, one hundred sixty-four".