27988632 has 128 divisors (see below), whose sum is σ = 90201600. Its totient is φ = 7876224.

The previous prime is 27988627. The next prime is 27988633. The reversal of 27988632 is 23688972.

27988632 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 8 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27988633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161698 + ... + 161870.

It is an arithmetic number, because the mean of its divisors is an integer number (704700).

Almost surely, 2^27988632 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 27988632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45100800).

27988632 is an abundant number, since it is smaller than the sum of its proper divisors (62212968).

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

27988632 is a wasteful number, since it uses less digits than its factorization.

27988632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 27988632 is about 5290.4283380460. The cubic root of 27988632 is about 303.6177964540.

The spelling of 27988632 in words is "twenty-seven million, nine hundred eighty-eight thousand, six hundred thirty-two".