1983028992 has 144 divisors (see below), whose sum is σ = 6131607552. Its totient is φ = 557199360.

The previous prime is 1983028991. The next prime is 1983029011. The reversal of 1983028992 is 2998203891.

It is a super-2 number, since 2×1983028992² = 7864807966225072128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983028991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324913 + ... + 330959.

It is an arithmetic number, because the mean of its divisors is an integer number (42580608).

Almost surely, 2^1983028992 is an apocalyptic number.

1983028992 is a gapful number since it is divisible by the number (12) 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 1983028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065803776).

1983028992 is an abundant number, since it is smaller than the sum of its proper divisors (4148578560).

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

1983028992 is an equidigital number, since it uses as much as digits as its factorization.

1983028992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6134 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 1983028992 is about 44531.2136820905. The cubic root of 1983028992 is about 1256.3472338392.

The spelling of 1983028992 in words is "one billion, nine hundred eighty-three million, twenty-eight thousand, nine hundred ninety-two".