27968880 has 40 divisors (see below), whose sum is σ = 86704272. Its totient is φ = 7458304.

The previous prime is 27968869. The next prime is 27968881. The reversal of 27968880 is 8886972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27968881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58029 + ... + 58508.

Almost surely, 2^27968880 is an apocalyptic number.

27968880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27968880 is an abundant number, since it is smaller than the sum of its proper divisors (58735392).

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

27968880 is a wasteful number, since it uses less digits than its factorization.

27968880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116553 (or 116547 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 27968880 is about 5288.5612410182. The cubic root of 27968880 is about 303.5463570924.

The spelling of 27968880 in words is "twenty-seven million, nine hundred sixty-eight thousand, eight hundred eighty".