27892896 has 96 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 8730624.

The previous prime is 27892873. The next prime is 27892919. The reversal of 27892896 is 69829872.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27892873) and next prime (27892919).

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 119596 + ... + 119828.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 2^27892896 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 27892896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

27892896 is an abundant number, since it is smaller than the sum of its proper divisors (49944864).

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

27892896 is a wasteful number, since it uses less digits than its factorization.

27892896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 27892896 is about 5281.3725488740. The cubic root of 27892896 is about 303.2712229096.

The spelling of 27892896 in words is "twenty-seven million, eight hundred ninety-two thousand, eight hundred ninety-six".