27956144 has 20 divisors (see below), whose sum is σ = 57016440. Its totient is φ = 13242240.

The previous prime is 27956119. The next prime is 27956161. The reversal of 27956144 is 44165972.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 27956098 and 27956107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45677 + ... + 46284.

It is an arithmetic number, because the mean of its divisors is an integer number (2850822).

Almost surely, 2^27956144 is an apocalyptic number.

It is an amenable number.

27956144 is an abundant number, since it is smaller than the sum of its proper divisors (29060296).

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

27956144 is a wasteful number, since it uses less digits than its factorization.

27956144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91988 (or 91982 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 27956144 is about 5287.3569957021. The cubic root of 27956144 is about 303.5002754789.

The spelling of 27956144 in words is "twenty-seven million, nine hundred fifty-six thousand, one hundred forty-four".