27989920 has 96 divisors (see below), whose sum is σ = 76906368. Its totient is φ = 9427968.

The previous prime is 27989917. The next prime is 27989933. The reversal of 27989920 is 2998972.

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, 74854 + ... + 75226.

It is an arithmetic number, because the mean of its divisors is an integer number (801108).

Almost surely, 2^27989920 is an apocalyptic number.

27989920 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 27989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38453184).

27989920 is an abundant number, since it is smaller than the sum of its proper divisors (48916448).

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

27989920 is a wasteful number, since it uses less digits than its factorization.

27989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 27989920 is about 5290.5500659194. The cubic root of 27989920 is about 303.6224537463.

The spelling of 27989920 in words is "twenty-seven million, nine hundred eighty-nine thousand, nine hundred twenty".