27680432 has 40 divisors (see below), whose sum is σ = 58579584. Its totient is φ = 12593664.

The previous prime is 27680423. The next prime is 27680449. The reversal of 27680432 is 23408672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14273 + ... + 16095.

Almost surely, 2^27680432 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 27680432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29289792).

27680432 is an abundant number, since it is smaller than the sum of its proper divisors (30899152).

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

27680432 is a wasteful number, since it uses less digits than its factorization.

27680432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 27680432 is about 5261.2196304659. The cubic root of 27680432 is about 302.4992400318.

It can be divided in two parts, 276 and 80432, that added together give a palindrome (80708).

The spelling of 27680432 in words is "twenty-seven million, six hundred eighty thousand, four hundred thirty-two".