27975168 has 120 divisors (see below), whose sum is σ = 87135048. Its totient is φ = 8589312.

The previous prime is 27975151. The next prime is 27975187. The reversal of 27975168 is 86157972.

It is a super-2 number, since 2×27975168² = 1565220049256448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (211680) is a multiple of the sum of its prime factors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59671 + ... + 60137.

Almost surely, 2^27975168 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 27975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43567524).

27975168 is an abundant number, since it is smaller than the sum of its proper divisors (59159880).

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

27975168 is a wasteful number, since it uses less digits than its factorization.

27975168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 27975168 is about 5289.1556982188. The cubic root of 27975168 is about 303.5691032836.

The spelling of 27975168 in words is "twenty-seven million, nine hundred seventy-five thousand, one hundred sixty-eight".