27431328 has 48 divisors (see below), whose sum is σ = 72938880. Its totient is φ = 9025536.

The previous prime is 27431321. The next prime is 27431333. The reversal of 27431328 is 82313472.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 27431295 and 27431304.

It is not an unprimeable number, because it can be changed into a prime (27431321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5776 + ... + 9392.

It is an arithmetic number, because the mean of its divisors is an integer number (1519560).

Almost surely, 2^27431328 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 27431328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36469440).

27431328 is an abundant number, since it is smaller than the sum of its proper divisors (45507552).

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

27431328 is a wasteful number, since it uses less digits than its factorization.

27431328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3701 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 27431328 is about 5237.4925298276. The cubic root of 27431328 is about 301.5890790089.

The spelling of 27431328 in words is "twenty-seven million, four hundred thirty-one thousand, three hundred twenty-eight".