27916512 has 48 divisors (see below), whose sum is σ = 78921360. Its totient is φ = 8589312.

The previous prime is 27916481. The next prime is 27916513. The reversal of 27916512 is 21561972.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×27916512² = 1558663284492288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27916513) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9937 + ... + 12432.

It is an arithmetic number, because the mean of its divisors is an integer number (1644195).

Almost surely, 2^27916512 is an apocalyptic number.

It is an amenable number.

27916512 is an abundant number, since it is smaller than the sum of its proper divisors (51004848).

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

27916512 is a wasteful number, since it uses less digits than its factorization.

27916512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22395 (or 22387 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 27916512 is about 5283.6078582726. The cubic root of 27916512 is about 303.3567886973.

The spelling of 27916512 in words is "twenty-seven million, nine hundred sixteen thousand, five hundred twelve".