83928000 has 224 divisors, whose sum is σ = 299557440. Its totient is φ = 20582400.

The previous prime is 83927999. The next prime is 83928017. The reversal of 83928000 is 82938.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 311866 + ... + 312134.

It is an arithmetic number, because the mean of its divisors is an integer number (1337310).

Almost surely, 2^83928000 is an apocalyptic number.

83928000 is a gapful number since it is divisible by the number (80) 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 83928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

83928000 is an abundant number, since it is smaller than the sum of its proper divisors (215629440).

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

83928000 is a wasteful number, since it uses less digits than its factorization.

83928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 292 counting only the distinct ones).

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

The square root of 83928000 is about 9161.2226258289. Note that the first 3 decimals coincide. The cubic root of 83928000 is about 437.8267491023.

The spelling of 83928000 in words is "eighty-three million, nine hundred twenty-eight thousand".