27980568 has 192 divisors, whose sum is σ = 97344000. Its totient is φ = 7197120.

The previous prime is 27980567. The next prime is 27980587. The reversal of 27980568 is 86508972.

27980568 is a `hidden beast` number, since 2 + 7 + 9 + 80 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27980567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271605 + ... + 271707.

It is an arithmetic number, because the mean of its divisors is an integer number (507000).

Almost surely, 2^27980568 is an apocalyptic number.

27980568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27980568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48672000).

27980568 is an abundant number, since it is smaller than the sum of its proper divisors (69363432).

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

27980568 is a wasteful number, since it uses less digits than its factorization.

27980568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 27980568 is about 5289.6661520364. Note that the first 3 decimals coincide. The cubic root of 27980568 is about 303.5886345061.

The spelling of 27980568 in words is "twenty-seven million, nine hundred eighty thousand, five hundred sixty-eight".