83320128 has 168 divisors, whose sum is σ = 258665472. Its totient is φ = 25546752.

The previous prime is 83320093. The next prime is 83320129. The reversal of 83320128 is 82102338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83320129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656001 + ... + 656127.

Almost surely, 2^83320128 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 83320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129332736).

83320128 is an abundant number, since it is smaller than the sum of its proper divisors (175345344).

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

83320128 is a wasteful number, since it uses less digits than its factorization.

83320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83320128 is about 9127.9859772022. The cubic root of 83320128 is about 436.7671593069.

The spelling of 83320128 in words is "eighty-three million, three hundred twenty thousand, one hundred twenty-eight".