27895992432 has 640 divisors, whose sum is σ = 98755584000. Its totient is φ = 6761905920.

The previous prime is 27895992409. The next prime is 27895992433. The reversal of 27895992432 is 23429959872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27895992433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416358063 + ... + 416358129.

It is an arithmetic number, because the mean of its divisors is an integer number (154305600).

Almost surely, 2^27895992432 is an apocalyptic number.

27895992432 is a gapful number since it is divisible by the number (22) 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 27895992432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49377792000).

27895992432 is an abundant number, since it is smaller than the sum of its proper divisors (70859591568).

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

27895992432 is a wasteful number, since it uses less digits than its factorization.

27895992432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 109 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The spelling of 27895992432 in words is "twenty-seven billion, eight hundred ninety-five million, nine hundred ninety-two thousand, four hundred thirty-two".