83116928 has 32 divisors (see below), whose sum is σ = 166920960. Its totient is φ = 41223168.

The previous prime is 83116919. The next prime is 83116937. The reversal of 83116928 is 82961138.

It is an interprime number because it is at equal distance from previous prime (83116919) and next prime (83116937).

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 83116891 and 83116900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13700 + ... + 18812.

It is an arithmetic number, because the mean of its divisors is an integer number (5216280).

Almost surely, 2^83116928 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 83116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83460480).

83116928 is an abundant number, since it is smaller than the sum of its proper divisors (83804032).

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

83116928 is a wasteful number, since it uses less digits than its factorization.

83116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5254 (or 5242 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 83116928 is about 9116.8485783192. The cubic root of 83116928 is about 436.4118096648.

The spelling of 83116928 in words is "eighty-three million, one hundred sixteen thousand, nine hundred twenty-eight".