27833984 has 32 divisors (see below), whose sum is σ = 56025540. Its totient is φ = 13772800.

The previous prime is 27833983. The next prime is 27833987. The reversal of 27833984 is 48933872.

It can be written as a sum of positive squares in 2 ways, for example, as 27793984 + 40000 = 5272^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (290304) is a multiple of the sum of its prime factors (2268).

It is not an unprimeable number, because it can be changed into a prime (27833983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11852 + ... + 14004.

Almost surely, 2^27833984 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 27833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28012770).

27833984 is an abundant number, since it is smaller than the sum of its proper divisors (28191556).

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

27833984 is a wasteful number, since it uses less digits than its factorization.

27833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2256 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 27833984 is about 5275.7922627791. The cubic root of 27833984 is about 303.0575614882.

The spelling of 27833984 in words is "twenty-seven million, eight hundred thirty-three thousand, nine hundred eighty-four".