27856128 has 144 divisors (see below), whose sum is σ = 82414080. Its totient is φ = 8312832.

The previous prime is 27856123. The next prime is 27856139. The reversal of 27856128 is 82165872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27856123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335575 + ... + 335657.

It is an arithmetic number, because the mean of its divisors is an integer number (572320).

Almost surely, 2^27856128 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 27856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41207040).

27856128 is an abundant number, since it is smaller than the sum of its proper divisors (54557952).

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

27856128 is a wasteful number, since it uses less digits than its factorization.

27856128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 27856128 is about 5277.8904876854. The cubic root of 27856128 is about 303.1379084452.

The spelling of 27856128 in words is "twenty-seven million, eight hundred fifty-six thousand, one hundred twenty-eight".