83728008 has 144 divisors (see below), whose sum is σ = 280912320. Its totient is φ = 22059648.

The previous prime is 83727997. The next prime is 83728049. The reversal of 83728008 is 80082738.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84685 + ... + 85667.

It is an arithmetic number, because the mean of its divisors is an integer number (1950780).

Almost surely, 2^83728008 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 83728008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140456160).

83728008 is an abundant number, since it is smaller than the sum of its proper divisors (197184312).

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

83728008 is a wasteful number, since it uses less digits than its factorization.

83728008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 83728008 is about 9150.3009786564. The cubic root of 83728008 is about 437.4787067732.

The spelling of 83728008 in words is "eighty-three million, seven hundred twenty-eight thousand, eight".