27864192 has 64 divisors (see below), whose sum is σ = 74664000. Its totient is φ = 9206784.

The previous prime is 27864149. The next prime is 27864211. The reversal of 27864192 is 29146872.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 27864192.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56973 + ... + 57459.

It is an arithmetic number, because the mean of its divisors is an integer number (1166625).

Almost surely, 2^27864192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27864192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37332000).

27864192 is an abundant number, since it is smaller than the sum of its proper divisors (46799808).

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

27864192 is a wasteful number, since it uses less digits than its factorization.

27864192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 641 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 27864192 is about 5278.6543739859. The cubic root of 27864192 is about 303.1671571650.

The spelling of 27864192 in words is "twenty-seven million, eight hundred sixty-four thousand, one hundred ninety-two".