27865728 has 128 divisors (see below), whose sum is σ = 89841600. Its totient is φ = 8432640.

The previous prime is 27865709. The next prime is 27865729. The reversal of 27865728 is 82756872.

27865728 is a `hidden beast` number, since 2 + 78 + 6 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (27865729) 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, 37650 + ... + 38382.

Almost surely, 2^27865728 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 27865728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44920800).

27865728 is an abundant number, since it is smaller than the sum of its proper divisors (61975872).

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

27865728 is a wasteful number, since it uses less digits than its factorization.

27865728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 749 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 27865728 is about 5278.7998636054. The cubic root of 27865728 is about 303.1727277099.

The spelling of 27865728 in words is "twenty-seven million, eight hundred sixty-five thousand, seven hundred twenty-eight".