27832392768 has 112 divisors (see below), whose sum is σ = 75516638400. Its totient is φ = 9041510400.

The previous prime is 27832392761. The next prime is 27832392781. The reversal of 27832392768 is 86729323872.

It is not an unprimeable number, because it can be changed into a prime (27832392761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13373488 + ... + 13375568.

It is an arithmetic number, because the mean of its divisors is an integer number (674255700).

Almost surely, 2^27832392768 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 27832392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37758319200).

27832392768 is an abundant number, since it is smaller than the sum of its proper divisors (47684245632).

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

27832392768 is a wasteful number, since it uses less digits than its factorization.

27832392768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3826 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

It can be divided in two parts, 278323 and 92768, that added together give a triangular number (371091 = T₈₆₁).

The spelling of 27832392768 in words is "twenty-seven billion, eight hundred thirty-two million, three hundred ninety-two thousand, seven hundred sixty-eight".