83381728 has 48 divisors (see below), whose sum is σ = 178794000. Its totient is φ = 38126592.

The previous prime is 83381677. The next prime is 83381729. The reversal of 83381728 is 82718338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83381729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15268 + ... + 19996.

It is an arithmetic number, because the mean of its divisors is an integer number (3724875).

Almost surely, 2^83381728 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 83381728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89397000).

83381728 is an abundant number, since it is smaller than the sum of its proper divisors (95412272).

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

83381728 is a wasteful number, since it uses less digits than its factorization.

83381728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4779 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 83381728 is about 9131.3595920870. The cubic root of 83381728 is about 436.8747692765.

The spelling of 83381728 in words is "eighty-three million, three hundred eighty-one thousand, seven hundred twenty-eight".