27904032 has 144 divisors (see below), whose sum is σ = 88746840. Its totient is φ = 8257536.

The previous prime is 27904013. The next prime is 27904043. The reversal of 27904032 is 23040972.

It can be written as a sum of positive squares in 4 ways, for example, as 26255376 + 1648656 = 5124^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 27903987 and 27904005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108448 + ... + 108704.

Almost surely, 2^27904032 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 27904032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44373420).

27904032 is an abundant number, since it is smaller than the sum of its proper divisors (60842808).

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

27904032 is a wasteful number, since it uses less digits than its factorization.

27904032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27904032 is about 5282.4267150619. The cubic root of 27904032 is about 303.3115770197.

The spelling of 27904032 in words is "twenty-seven million, nine hundred four thousand, thirty-two".