83328920 has 48 divisors (see below), whose sum is σ = 190341360. Its totient is φ = 32831744.

The previous prime is 83328913. The next prime is 83328941. The reversal of 83328920 is 2982338.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316709 + ... + 316971.

It is an arithmetic number, because the mean of its divisors is an integer number (3965445).

Almost surely, 2^83328920 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 83328920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95170680).

83328920 is an abundant number, since it is smaller than the sum of its proper divisors (107012440).

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

83328920 is a wasteful number, since it uses less digits than its factorization.

83328920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 83328920 is about 9128.4675603302. The cubic root of 83328920 is about 436.7825214285.

It can be divided in two parts, 83328 and 920, that added together give a palindrome (84248).

The spelling of 83328920 in words is "eighty-three million, three hundred twenty-eight thousand, nine hundred twenty".