8932138880 has 256 divisors, whose sum is σ = 25204608000. Its totient is φ = 2963423232.

The previous prime is 8932138877. The next prime is 8932138907. The reversal of 8932138880 is 888312398.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38335244 + ... + 38335476.

It is an arithmetic number, because the mean of its divisors is an integer number (98455500).

Almost surely, 2^8932138880 is an apocalyptic number.

8932138880 is a gapful number since it is divisible by the number (80) 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 8932138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602304000).

8932138880 is an abundant number, since it is smaller than the sum of its proper divisors (16272469120).

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

8932138880 is a wasteful number, since it uses less digits than its factorization.

8932138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The square root of 8932138880 is about 94509.9935456563. The cubic root of 8932138880 is about 2074.8425974375.

The spelling of 8932138880 in words is "eight billion, nine hundred thirty-two million, one hundred thirty-eight thousand, eight hundred eighty".