27912980 has 48 divisors (see below), whose sum is σ = 63277200. Its totient is φ = 10303488.

The previous prime is 27912967. The next prime is 27913001. The reversal of 27912980 is 8921972.

It can be written as a sum of positive squares in 8 ways, for example, as 329476 + 27583504 = 574^2 + 5252^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17246 + ... + 18794.

It is an arithmetic number, because the mean of its divisors is an integer number (1318275).

Almost surely, 2^27912980 is an apocalyptic number.

27912980 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 27912980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31638600).

27912980 is an abundant number, since it is smaller than the sum of its proper divisors (35364220).

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

27912980 is a wasteful number, since it uses less digits than its factorization.

27912980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 27912980 is about 5283.2736063922. The cubic root of 27912980 is about 303.3439945803.

The spelling of 27912980 in words is "twenty-seven million, nine hundred twelve thousand, nine hundred eighty".