83687328 has 72 divisors (see below), whose sum is σ = 251999748. Its totient is φ = 26253312.

The previous prime is 83687293. The next prime is 83687339. The reversal of 83687328 is 82378638.

It can be written as a sum of positive squares in 2 ways, for example, as 81216144 + 2471184 = 9012^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 3651 + ... + 13442.

Almost surely, 2^83687328 is an apocalyptic number.

It is an amenable number.

83687328 is an abundant number, since it is smaller than the sum of its proper divisors (168312420).

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

83687328 is a wasteful number, since it uses less digits than its factorization.

83687328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17126 (or 17115 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 83687328 is about 9148.0778308888. The cubic root of 83687328 is about 437.4078443174.

The spelling of 83687328 in words is "eighty-three million, six hundred eighty-seven thousand, three hundred twenty-eight".