1983996288 has 128 divisors (see below), whose sum is σ = 6200172000. Its totient is φ = 622411776.

The previous prime is 1983996281. The next prime is 1983996299. The reversal of 1983996288 is 8826993891.

It is a tau number, because it is divible by the number of its divisors (128).

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 (1983996281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41868 + ... + 75636.

Almost surely, 2^1983996288 is an apocalyptic number.

1983996288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1983996288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100086000).

1983996288 is an abundant number, since it is smaller than the sum of its proper divisors (4216175712).

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

1983996288 is a wasteful number, since it uses less digits than its factorization.

1983996288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33809 (or 33791 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The square root of 1983996288 is about 44542.0732341906. The cubic root of 1983996288 is about 1256.5514772998.

The spelling of 1983996288 in words is "one billion, nine hundred eighty-three million, nine hundred ninety-six thousand, two hundred eighty-eight".