27879168 has 72 divisors (see below), whose sum is σ = 76658176. Its totient is φ = 8985600.

The previous prime is 27879127. The next prime is 27879191. The reversal of 27879168 is 86197872.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 23223 + ... + 24393.

Almost surely, 2^27879168 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 27879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38329088).

27879168 is an abundant number, since it is smaller than the sum of its proper divisors (48779008).

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

27879168 is a wasteful number, since it uses less digits than its factorization.

27879168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1207 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 27879168 is about 5280.0727267719. The cubic root of 27879168 is about 303.2214612480.

The spelling of 27879168 in words is "twenty-seven million, eight hundred seventy-nine thousand, one hundred sixty-eight".