27908231832 has 640 divisors, whose sum is σ = 95940028800. Its totient is φ = 7488847872.

The previous prime is 27908231797. The next prime is 27908231843. The reversal of 27908231832 is 23813280972.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121869894 + ... + 121870122.

It is an arithmetic number, because the mean of its divisors is an integer number (149906295).

Almost surely, 2^27908231832 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 27908231832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47970014400).

27908231832 is an abundant number, since it is smaller than the sum of its proper divisors (68031796968).

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

27908231832 is a wasteful number, since it uses less digits than its factorization.

27908231832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 27908231832 in words is "twenty-seven billion, nine hundred eight million, two hundred thirty-one thousand, eight hundred thirty-two".