83715128 has 72 divisors (see below), whose sum is σ = 190781280. Its totient is φ = 34302240.

The previous prime is 83715061. The next prime is 83715139. The reversal of 83715128 is 82151738.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1008575 + ... + 1008657.

It is an arithmetic number, because the mean of its divisors is an integer number (2649740).

Almost surely, 2^83715128 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 83715128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95390640).

83715128 is an abundant number, since it is smaller than the sum of its proper divisors (107066152).

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

83715128 is a wasteful number, since it uses less digits than its factorization.

83715128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 123 counting only the distinct ones).

The product of its digits is 13440, while the sum is 35.

The square root of 83715128 is about 9149.5971496017. The cubic root of 83715128 is about 437.4562729631.

The spelling of 83715128 in words is "eighty-three million, seven hundred fifteen thousand, one hundred twenty-eight".