27865152 has 84 divisors (see below), whose sum is σ = 91293696. Its totient is φ = 7960320.

The previous prime is 27865151. The next prime is 27865241. The reversal of 27865152 is 25156872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27865151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577 + ... + 7487.

Almost surely, 2^27865152 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 27865152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45646848).

27865152 is an abundant number, since it is smaller than the sum of its proper divisors (63428544).

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

27865152 is a wasteful number, since it uses less digits than its factorization.

27865152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6923 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 27865152 is about 5278.7453054680. The cubic root of 27865152 is about 303.1706387796.

The spelling of 27865152 in words is "twenty-seven million, eight hundred sixty-five thousand, one hundred fifty-two".