83879928 has 128 divisors (see below), whose sum is σ = 260409600. Its totient is φ = 24796800.

The previous prime is 83879881. The next prime is 83879951. The reversal of 83879928 is 82997838.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 101758 + ... + 102578.

It is an arithmetic number, because the mean of its divisors is an integer number (2034450).

Almost surely, 2^83879928 is an apocalyptic number.

83879928 is a gapful number since it is divisible by the number (88) 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 83879928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130204800).

83879928 is an abundant number, since it is smaller than the sum of its proper divisors (176529672).

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

83879928 is a wasteful number, since it uses less digits than its factorization.

83879928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 880 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 83879928 is about 9158.5985827527. The cubic root of 83879928 is about 437.7431408221.

The spelling of 83879928 in words is "eighty-three million, eight hundred seventy-nine thousand, nine hundred twenty-eight".