27998592 has 64 divisors (see below), whose sum is σ = 78764400. Its totient is φ = 8781824.

The previous prime is 27998591. The next prime is 27998617. The reversal of 27998592 is 29589972.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27998591) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4384 + ... + 8672.

Almost surely, 2^27998592 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 27998592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39382200).

27998592 is an abundant number, since it is smaller than the sum of its proper divisors (50765808).

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

27998592 is a wasteful number, since it uses less digits than its factorization.

27998592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4311 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 27998592 is about 5291.3695769621. The cubic root of 27998592 is about 303.6538072007.

The spelling of 27998592 in words is "twenty-seven million, nine hundred ninety-eight thousand, five hundred ninety-two".