27932082336 has 96 divisors (see below), whose sum is σ = 81700254720. Its totient is φ = 9284216832.

The previous prime is 27932082331. The next prime is 27932082359. The reversal of 27932082336 is 63328023972.

27932082336 is a `hidden beast` number, since 27 + 93 + 208 + 2 + 336 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27932082291 and 27932082300.

It is not an unprimeable number, because it can be changed into a prime (27932082331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259201 + ... + 350783.

It is an arithmetic number, because the mean of its divisors is an integer number (851044320).

Almost surely, 2^27932082336 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 27932082336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40850127360).

27932082336 is an abundant number, since it is smaller than the sum of its proper divisors (53768172384).

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

27932082336 is a wasteful number, since it uses less digits than its factorization.

27932082336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91955 (or 91941 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 27932082336 in words is "twenty-seven billion, nine hundred thirty-two million, eighty-two thousand, three hundred thirty-six".