27880965 has 48 divisors (see below), whose sum is σ = 56174976. Its totient is φ = 12528000.

The previous prime is 27880939. The next prime is 27881027. The reversal of 27880965 is 56908872.

It is not a de Polignac number, because 27880965 - 2⁵ = 27880933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27880965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18490 + ... + 19940.

It is an arithmetic number, because the mean of its divisors is an integer number (1170312).

Almost surely, 2^27880965 is an apocalyptic number.

It is an amenable number.

27880965 is an abundant number, since it is smaller than the sum of its proper divisors (28294011).

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

27880965 is a wasteful number, since it uses less digits than its factorization.

27880965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 27880965 is about 5280.2428921405. The cubic root of 27880965 is about 303.2279759960.

The spelling of 27880965 in words is "twenty-seven million, eight hundred eighty thousand, nine hundred sixty-five".