27978192 has 120 divisors (see below), whose sum is σ = 90529920. Its totient is φ = 7971840.

The previous prime is 27978191. The next prime is 27978193. The reversal of 27978192 is 29187972.

It is an interprime number because it is at equal distance from previous prime (27978191) and next prime (27978193).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27978191) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26409 + ... + 27447.

It is an arithmetic number, because the mean of its divisors is an integer number (754416).

Almost surely, 2^27978192 is an apocalyptic number.

27978192 is a gapful number since it is divisible by the number (22) 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 27978192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45264960).

27978192 is an abundant number, since it is smaller than the sum of its proper divisors (62551728).

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

27978192 is a wasteful number, since it uses less digits than its factorization.

27978192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1072 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 27978192 is about 5289.4415584256. The cubic root of 27978192 is about 303.5800410778.

The spelling of 27978192 in words is "twenty-seven million, nine hundred seventy-eight thousand, one hundred ninety-two".