27427968 has 96 divisors (see below), whose sum is σ = 81747900. Its totient is φ = 8816640.

The previous prime is 27427957. The next prime is 27427993. The reversal of 27427968 is 86972472.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 304704 = 5208^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32998 + ... + 33818.

Almost surely, 2^27427968 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 27427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40873950).

27427968 is an abundant number, since it is smaller than the sum of its proper divisors (54319932).

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

27427968 is a wasteful number, since it uses less digits than its factorization.

27427968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 27427968 is about 5237.1717558239. The cubic root of 27427968 is about 301.5767648563.

The spelling of 27427968 in words is "twenty-seven million, four hundred twenty-seven thousand, nine hundred sixty-eight".