983828664 has 288 divisors, whose sum is σ = 3516786000. Its totient is φ = 245597184.

The previous prime is 983828663. The next prime is 983828689. The reversal of 983828664 is 466828389.

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

It is a self number, because there is not a number n which added to its sum of digits gives 983828664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983828663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 870852 + ... + 871980.

Almost surely, 2^983828664 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 983828664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758393000).

983828664 is an abundant number, since it is smaller than the sum of its proper divisors (2532957336).

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

983828664 is a wasteful number, since it uses less digits than its factorization.

983828664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1173 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 983828664 is about 31366.0431677316. The cubic root of 983828664 is about 994.5802338682.

The spelling of 983828664 in words is "nine hundred eighty-three million, eight hundred twenty-eight thousand, six hundred sixty-four".