27868128 has 72 divisors (see below), whose sum is σ = 75371688. Its totient is φ = 9015552.

The previous prime is 27868121. The next prime is 27868147. The reversal of 27868128 is 82186872.

Its product of digits (86016) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 27868128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27868121) 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 11 ways as a sum of consecutive naturals, for example, 177426 + ... + 177582.

It is an arithmetic number, because the mean of its divisors is an integer number (1046829).

Almost surely, 2^27868128 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 27868128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37685844).

27868128 is an abundant number, since it is smaller than the sum of its proper divisors (47503560).

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

27868128 is a wasteful number, since it uses less digits than its factorization.

27868128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 205 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 27868128 is about 5279.0271831086. The cubic root of 27868128 is about 303.1814312765.

The spelling of 27868128 in words is "twenty-seven million, eight hundred sixty-eight thousand, one hundred twenty-eight".