83719328 has 96 divisors (see below), whose sum is σ = 209236608. Its totient is φ = 32025600.

The previous prime is 83719319. The next prime is 83719343. The reversal of 83719328 is 82391738.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150026 + ... + 150582.

It is an arithmetic number, because the mean of its divisors is an integer number (2179548).

Almost surely, 2^83719328 is an apocalyptic number.

83719328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83719328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104618304).

83719328 is an abundant number, since it is smaller than the sum of its proper divisors (125517280).

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

83719328 is a wasteful number, since it uses less digits than its factorization.

83719328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 638 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 83719328 is about 9149.8266650249. The cubic root of 83719328 is about 437.4635885888.

The spelling of 83719328 in words is "eighty-three million, seven hundred nineteen thousand, three hundred twenty-eight".