27968120 has 32 divisors (see below), whose sum is σ = 63292320. Its totient is φ = 11122560.

The previous prime is 27968119. The next prime is 27968131. The reversal of 27968120 is 2186972.

It is a happy number.

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, 5309 + ... + 9171.

It is an arithmetic number, because the mean of its divisors is an integer number (1977885).

Almost surely, 2^27968120 is an apocalyptic number.

27968120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27968120 is an abundant number, since it is smaller than the sum of its proper divisors (35324200).

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

27968120 is a wasteful number, since it uses less digits than its factorization.

27968120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 27968120 is about 5288.4893873393. The cubic root of 27968120 is about 303.5436076399.

The spelling of 27968120 in words is "twenty-seven million, nine hundred sixty-eight thousand, one hundred twenty".