27827920 has 20 divisors (see below), whose sum is σ = 64700100. Its totient is φ = 11131136.

The previous prime is 27827887. The next prime is 27827957. The reversal of 27827920 is 2972872.

It can be written as a sum of positive squares in 2 ways, for example, as 17740944 + 10086976 = 4212^2 + 3176^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 27827920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173845 + ... + 174004.

It is an arithmetic number, because the mean of its divisors is an integer number (3235005).

Almost surely, 2^27827920 is an apocalyptic number.

27827920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27827920 is an abundant number, since it is smaller than the sum of its proper divisors (36872180).

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

27827920 is a wasteful number, since it uses less digits than its factorization.

27827920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347862 (or 347856 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 27827920 is about 5275.2175310597. The cubic root of 27827920 is about 303.0355515293.

Subtracting from 27827920 its product of nonzero digits (28224), we obtain a triangular number (27799696 = T₇₄₅₆).

The spelling of 27827920 in words is "twenty-seven million, eight hundred twenty-seven thousand, nine hundred twenty".