27980920 has 64 divisors (see below), whose sum is σ = 72316800. Its totient is φ = 9636480.

The previous prime is 27980837. The next prime is 27980987. The reversal of 27980920 is 2908972.

It is a self number, because there is not a number n which added to its sum of digits gives 27980920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6687 + ... + 10033.

It is an arithmetic number, because the mean of its divisors is an integer number (1129950).

Almost surely, 2^27980920 is an apocalyptic number.

27980920 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 27980920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36158400).

27980920 is an abundant number, since it is smaller than the sum of its proper divisors (44335880).

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

27980920 is a wasteful number, since it uses less digits than its factorization.

27980920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 27980920 is about 5289.6994243530. The cubic root of 27980920 is about 303.5899075652.

It can be divided in two parts, 27980 and 920, that added together give a square (28900 = 170²).

The spelling of 27980920 in words is "twenty-seven million, nine hundred eighty thousand, nine hundred twenty".