27986816 has 96 divisors (see below), whose sum is σ = 66473400. Its totient is φ = 11658240.

The previous prime is 27986807. The next prime is 27986857. The reversal of 27986816 is 61868972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201275 + ... + 201413.

Almost surely, 2^27986816 is an apocalyptic number.

27986816 is a gapful number since it is divisible by the number (26) 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 27986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33236700).

27986816 is an abundant number, since it is smaller than the sum of its proper divisors (38486584).

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

27986816 is a wasteful number, since it uses less digits than its factorization.

27986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 27986816 is about 5290.2567045466. The cubic root of 27986816 is about 303.6112297183.

The spelling of 27986816 in words is "twenty-seven million, nine hundred eighty-six thousand, eight hundred sixteen".