9983829140 has 48 divisors (see below), whose sum is σ = 21741912192. Its totient is φ = 3847844736.

The previous prime is 9983829073. The next prime is 9983829161. The reversal of 9983829140 is 419283899.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10727 + ... + 141713.

It is an arithmetic number, because the mean of its divisors is an integer number (452956504).

Almost surely, 2^9983829140 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 9983829140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10870956096).

9983829140 is an abundant number, since it is smaller than the sum of its proper divisors (11758083052).

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

9983829140 is a wasteful number, since it uses less digits than its factorization.

9983829140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131136 (or 131134 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The square root of 9983829140 is about 99919.1129864552. The cubic root of 9983829140 is about 2153.2727614354.

The spelling of 9983829140 in words is "nine billion, nine hundred eighty-three million, eight hundred twenty-nine thousand, one hundred forty".