983968128 has 384 divisors, whose sum is σ = 3456616800. Its totient is φ = 273715200.

The previous prime is 983968127. The next prime is 983968133. The reversal of 983968128 is 821869389.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983968127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5436198 + ... + 5436378.

Almost surely, 2^983968128 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 983968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728308400).

983968128 is an abundant number, since it is smaller than the sum of its proper divisors (2472648672).

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

983968128 is a wasteful number, since it uses less digits than its factorization.

983968128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 210 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 983968128 is about 31368.2662574775. The cubic root of 983968128 is about 994.6272276823.

The spelling of 983968128 in words is "nine hundred eighty-three million, nine hundred sixty-eight thousand, one hundred twenty-eight".