27912192 has 192 divisors, whose sum is σ = 94348800. Its totient is φ = 7127040.

The previous prime is 27912169. The next prime is 27912211. The reversal of 27912192 is 29121972.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 473059 + ... + 473117.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^27912192 is an apocalyptic number.

27912192 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 27912192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

27912192 is an abundant number, since it is smaller than the sum of its proper divisors (66436608).

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

27912192 is a wasteful number, since it uses less digits than its factorization.

27912192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 27912192 is about 5283.1990308903. The cubic root of 27912192 is about 303.3411400264.

It can be divided in two parts, 27 and 912192, that added together give a palindrome (912219).

The spelling of 27912192 in words is "twenty-seven million, nine hundred twelve thousand, one hundred ninety-two".