9028761984 has 256 divisors, whose sum is σ = 29189952000. Its totient is φ = 2724710400.

The previous prime is 9028761977. The next prime is 9028762007. The reversal of 9028761984 is 4891678209.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9028761984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16688754 + ... + 16689294.

It is an arithmetic number, because the mean of its divisors is an integer number (114023250).

Almost surely, 2^9028761984 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 9028761984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594976000).

9028761984 is an abundant number, since it is smaller than the sum of its proper divisors (20161190016).

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

9028761984 is a wasteful number, since it uses less digits than its factorization.

9028761984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 9028761984 is about 95019.7978528685. The cubic root of 9028761984 is about 2082.2972941244.

The spelling of 9028761984 in words is "nine billion, twenty-eight million, seven hundred sixty-one thousand, nine hundred eighty-four".