83928 has 32 divisors (see below), whose sum is σ = 226800. Its totient is φ = 25728.

The previous prime is 83921. The next prime is 83933. The reversal of 83928 is 82938.

83928 = T₆₇ + T₆₈ + ... + T₉₂.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83895 and 83904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 446.

2⁸³⁹²⁸ 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 83928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

83928 is an abundant number, since it is smaller than the sum of its proper divisors (142872).

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

83928 is a wasteful number, since it uses less digits than its factorization.

83928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 83928 is about 289.7032964949. The cubic root of 83928 is about 43.7826749102.

Subtracting from 83928 its reverse (82938), we obtain a triangular number (990 = T₄₄).

The spelling of 83928 in words is "eighty-three thousand, nine hundred twenty-eight".