27968016 has 40 divisors (see below), whose sum is σ = 72649120. Its totient is φ = 9271296.

The previous prime is 27967987. The next prime is 27968033. The reversal of 27968016 is 61086972.

27968016 = T₁₇₁ + T₁₇₂ + ... + T₅₅₆.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7755 + ... + 10773.

It is an arithmetic number, because the mean of its divisors is an integer number (1816228).

Almost surely, 2^27968016 is an apocalyptic number.

It is an amenable number.

27968016 is an abundant number, since it is smaller than the sum of its proper divisors (44681104).

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

27968016 is a wasteful number, since it uses less digits than its factorization.

27968016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 27968016 is about 5288.4795546546. The cubic root of 27968016 is about 303.5432313952.

The spelling of 27968016 in words is "twenty-seven million, nine hundred sixty-eight thousand, sixteen".