27985920 has 96 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 7454720.

The previous prime is 27985913. The next prime is 27985921. The reversal of 27985920 is 2958972.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (27985921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30265 + ... + 31175.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^27985920 is an apocalyptic number.

27985920 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 27985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

27985920 is an abundant number, since it is smaller than the sum of its proper divisors (61645440).

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

27985920 is an equidigital number, since it uses as much as digits as its factorization.

27985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 27985920 is about 5290.1720198874. The cubic root of 27985920 is about 303.6079896384.

The spelling of 27985920 in words is "twenty-seven million, nine hundred eighty-five thousand, nine hundred twenty".