27565728 has 48 divisors (see below), whose sum is σ = 73102176. Its totient is φ = 9094400.

The previous prime is 27565723. The next prime is 27565729. The reversal of 27565728 is 82756572.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27565728.

It is not an unprimeable number, because it can be changed into a prime (27565723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8275 + ... + 11117.

It is an arithmetic number, because the mean of its divisors is an integer number (1522962).

Almost surely, 2^27565728 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 27565728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36551088).

27565728 is an abundant number, since it is smaller than the sum of its proper divisors (45536448).

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

27565728 is a wasteful number, since it uses less digits than its factorization.

27565728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2949 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 27565728 is about 5250.3074195708. The cubic root of 27565728 is about 302.0808227753.

The spelling of 27565728 in words is "twenty-seven million, five hundred sixty-five thousand, seven hundred twenty-eight".