27889920 has 180 divisors, whose sum is σ = 100166220. Its totient is φ = 7409664.

The previous prime is 27889907. The next prime is 27889921. The reversal of 27889920 is 2998872.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 22581504 = 2304^2 + 4752^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (27889921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103546 + ... + 103814.

It is an arithmetic number, because the mean of its divisors is an integer number (556479).

Almost surely, 2^27889920 is an apocalyptic number.

27889920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50083110).

27889920 is an abundant number, since it is smaller than the sum of its proper divisors (72276300).

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

27889920 is an equidigital number, since it uses as much as digits as its factorization.

27889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 27889920 is about 5281.0907964170. The cubic root of 27889920 is about 303.2604368028.

The spelling of 27889920 in words is "twenty-seven million, eight hundred eighty-nine thousand, nine hundred twenty".