27932916960 has 576 divisors, whose sum is σ = 108191764800. Its totient is φ = 6690926592.

The previous prime is 27932916919. The next prime is 27932917031. The reversal of 27932916960 is 6961923972.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27932916897 and 27932916906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103839706 + ... + 103839974.

It is an arithmetic number, because the mean of its divisors is an integer number (187832925).

Almost surely, 2^27932916960 is an apocalyptic number.

27932916960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27932916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54095882400).

27932916960 is an abundant number, since it is smaller than the sum of its proper divisors (80258847840).

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

27932916960 is a wasteful number, since it uses less digits than its factorization.

27932916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 27932916960 in words is "twenty-seven billion, nine hundred thirty-two million, nine hundred sixteen thousand, nine hundred sixty".