27916992 has 84 divisors (see below), whose sum is σ = 84755736. Its totient is φ = 8755200.

The previous prime is 27916979. The next prime is 27917033. The reversal of 27916992 is 29961972.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8367 + ... + 11217.

Almost surely, 2^27916992 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 27916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42377868).

27916992 is an abundant number, since it is smaller than the sum of its proper divisors (56838744).

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

27916992 is a wasteful number, since it uses less digits than its factorization.

27916992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2873 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 27916992 is about 5283.6532815846. The cubic root of 27916992 is about 303.3585273389.

It can be divided in two parts, 279 and 16992, that added together give a palindrome (17271).

The spelling of 27916992 in words is "twenty-seven million, nine hundred sixteen thousand, nine hundred ninety-two".