683288928 has 144 divisors (see below), whose sum is σ = 2266336800. Its totient is φ = 195197184.

The previous prime is 683288917. The next prime is 683288941. The reversal of 683288928 is 829882386.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95326 + ... + 102242.

It is an arithmetic number, because the mean of its divisors is an integer number (15738450).

Almost surely, 2^683288928 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 683288928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133168400).

683288928 is an abundant number, since it is smaller than the sum of its proper divisors (1583047872).

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

683288928 is a wasteful number, since it uses less digits than its factorization.

683288928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 6929 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 683288928 is about 26139.7958676039. The cubic root of 683288928 is about 880.7813858619.

The spelling of 683288928 in words is "six hundred eighty-three million, two hundred eighty-eight thousand, nine hundred twenty-eight".