83339928 has 160 divisors (see below), whose sum is σ = 281107200. Its totient is φ = 22534848.

The previous prime is 83339923. The next prime is 83339951. The reversal of 83339928 is 82993338.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83339923) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85701 + ... + 86667.

It is an arithmetic number, because the mean of its divisors is an integer number (1756920).

Almost surely, 2^83339928 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 83339928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140553600).

83339928 is an abundant number, since it is smaller than the sum of its proper divisors (197767272).

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

83339928 is a wasteful number, since it uses less digits than its factorization.

83339928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 998 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 83339928 is about 9129.0704893762. The cubic root of 83339928 is about 436.8017540082.

The spelling of 83339928 in words is "eighty-three million, three hundred thirty-nine thousand, nine hundred twenty-eight".