83928768 has 168 divisors, whose sum is σ = 282147264. Its totient is φ = 21772800.

The previous prime is 83928751. The next prime is 83928791. The reversal of 83928768 is 86782938.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 83928768.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103083 + ... + 103893.

It is an arithmetic number, because the mean of its divisors is an integer number (1679448).

Almost surely, 2^83928768 is an apocalyptic number.

83928768 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 83928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141073632).

83928768 is an abundant number, since it is smaller than the sum of its proper divisors (198218496).

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

83928768 is a wasteful number, since it uses less digits than its factorization.

83928768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 834 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 83928768 is about 9161.2645415357. The cubic root of 83928768 is about 437.8280845721.

The spelling of 83928768 in words is "eighty-three million, nine hundred twenty-eight thousand, seven hundred sixty-eight".