27855648 has 54 divisors (see below), whose sum is σ = 79470027. Its totient is φ = 9255360.

The previous prime is 27855623. The next prime is 27855661. The reversal of 27855648 is 84655872.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

27855648 is a `hidden beast` number, since 2 + 7 + 85 + 564 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13927824 + 13927824 = 3732^2 + 3732^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3732.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89413 + ... + 89723.

Almost surely, 2^27855648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27855648

27855648 is an abundant number, since it is smaller than the sum of its proper divisors (51614379).

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

27855648 is an equidigital number, since it uses as much as digits as its factorization.

27855648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 316 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 27855648 is about 5277.8450147764. The cubic root of 27855648 is about 303.1361672720.

The spelling of 27855648 in words is "twenty-seven million, eight hundred fifty-five thousand, six hundred forty-eight".