1983488905728 has 1280 divisors, whose sum is σ = 7147908218880. Its totient is φ = 535973068800.

The previous prime is 1983488905693. The next prime is 1983488905729. The reversal of 1983488905728 is 8275098843891.

1983488905728 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 48 + 8 + 9 + 0 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1983488905729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4247299351 + ... + 4247299817.

It is an arithmetic number, because the mean of its divisors is an integer number (5584303296).

Almost surely, 2^{1983488905728} is an apocalyptic number.

1983488905728 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 1983488905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573954109440).

1983488905728 is an abundant number, since it is smaller than the sum of its proper divisors (5164419313152).

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

1983488905728 is a wasteful number, since it uses less digits than its factorization.

1983488905728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 1983488905728 in words is "one trillion, nine hundred eighty-three billion, four hundred eighty-eight million, nine hundred five thousand, seven hundred twenty-eight".