27800920 has 32 divisors (see below), whose sum is σ = 71488800. Its totient is φ = 9531648.

The previous prime is 27800909. The next prime is 27800921. The reversal of 27800920 is 2900872.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27800921) 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, 49365 + ... + 49924.

It is an arithmetic number, because the mean of its divisors is an integer number (2234025).

Almost surely, 2^27800920 is an apocalyptic number.

27800920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27800920 is an abundant number, since it is smaller than the sum of its proper divisors (43687880).

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

27800920 is a wasteful number, since it uses less digits than its factorization.

27800920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99307 (or 99303 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 27800920 is about 5272.6577738366. The cubic root of 27800920 is about 302.9375132103.

The spelling of 27800920 in words is "twenty-seven million, eight hundred thousand, nine hundred twenty".