83128950 has 96 divisors (see below), whose sum is σ = 231235200. Its totient is φ = 21958560.

The previous prime is 83128943. The next prime is 83128951. The reversal of 83128950 is 5982138.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83128951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187429 + ... + 187871.

It is an arithmetic number, because the mean of its divisors is an integer number (2408700).

Almost surely, 2^83128950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83128950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115617600).

83128950 is an abundant number, since it is smaller than the sum of its proper divisors (148106250).

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

83128950 is a wasteful number, since it uses less digits than its factorization.

83128950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 83128950 is about 9117.5078831883. The cubic root of 83128950 is about 436.4328494616.

The spelling of 83128950 in words is "eighty-three million, one hundred twenty-eight thousand, nine hundred fifty".