27956880 has 240 divisors, whose sum is σ = 112671360. Its totient is φ = 6241536.

The previous prime is 27956879. The next prime is 27956881. The reversal of 27956880 is 8865972.

27956880 is a `hidden beast` number, since 2 + 7 + 9 + 568 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (27956879) and next prime (27956881).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27956881) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 650139 + ... + 650181.

It is an arithmetic number, because the mean of its divisors is an integer number (469464).

Almost surely, 2^27956880 is an apocalyptic number.

27956880 is a gapful number since it is divisible by the number (20) 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 27956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56335680).

27956880 is an abundant number, since it is smaller than the sum of its proper divisors (84714480).

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

27956880 is a wasteful number, since it uses less digits than its factorization.

27956880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 60 counting only the distinct ones).

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

The square root of 27956880 is about 5287.4265952352. The cubic root of 27956880 is about 303.5029388677.

Multiplying 27956880 by its product of nonzero digits (241920), we get a square (6763328409600 = 2600640²).

The spelling of 27956880 in words is "twenty-seven million, nine hundred fifty-six thousand, eight hundred eighty".