27887872 has 36 divisors (see below), whose sum is σ = 57045996. Its totient is φ = 13598720.

The previous prime is 27887863. The next prime is 27887887. The reversal of 27887872 is 27878872.

It can be written as a sum of positive squares in 2 ways, for example, as 8386816 + 19501056 = 2896^2 + 4416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9168 + ... + 11824.

It is an arithmetic number, because the mean of its divisors is an integer number (1584611).

Almost surely, 2^27887872 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 27887872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28522998).

27887872 is an abundant number, since it is smaller than the sum of its proper divisors (29158124).

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

27887872 is an equidigital number, since it uses as much as digits as its factorization.

27887872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2700 counting only the distinct ones).

The product of its digits is 702464, while the sum is 49.

The square root of 27887872 is about 5280.8968935210. The cubic root of 27887872 is about 303.2530136600.

The spelling of 27887872 in words is "twenty-seven million, eight hundred eighty-seven thousand, eight hundred seventy-two".