27913698432 has 96 divisors (see below), whose sum is σ = 80383724460. Its totient is φ = 9297715200.

The previous prime is 27913698431. The next prime is 27913698467. The reversal of 27913698432 is 23489631972.

27913698432 is a `hidden beast` number, since 2 + 7 + 91 + 36 + 98 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27654359616 + 259338816 = 166296^2 + 16104^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (27913698431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1697932 + ... + 1714292.

Almost surely, 2^27913698432 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 27913698432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40191862230).

27913698432 is an abundant number, since it is smaller than the sum of its proper divisors (52470026028).

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

27913698432 is a wasteful number, since it uses less digits than its factorization.

27913698432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17862 (or 17847 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 27913698432 in words is "twenty-seven billion, nine hundred thirteen million, six hundred ninety-eight thousand, four hundred thirty-two".