27968200 has 96 divisors (see below), whose sum is σ = 72495360. Its totient is φ = 9964800.

The previous prime is 27968197. The next prime is 27968219. The reversal of 27968200 is 286972.

It is a super-2 number, since 2×27968200² = 1564440422480000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 80427 + ... + 80773.

It is an arithmetic number, because the mean of its divisors is an integer number (755160).

Almost surely, 2^27968200 is an apocalyptic number.

27968200 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 27968200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247680).

27968200 is an abundant number, since it is smaller than the sum of its proper divisors (44527160).

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

27968200 is a wasteful number, since it uses less digits than its factorization.

27968200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 27968200 is about 5288.4969509304. The cubic root of 27968200 is about 303.5438970583.

The spelling of 27968200 in words is "twenty-seven million, nine hundred sixty-eight thousand, two hundred".