9028438848000 has 3200 divisors, whose sum is σ = 41654306453760. Its totient is φ = 1911029760000.

The previous prime is 9028438847959. The next prime is 9028438848007. The reversal of 9028438848000 is 8488348209.

9028438848000 is a `hidden beast` number, since 9 + 0 + 2 + 84 + 3 + 88 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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

It is not an unprimeable number, because it can be changed into a prime (9028438848007) 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 319 ways as a sum of consecutive naturals, for example, 14084927680 + ... + 14084928320.

Almost surely, 2^{9028438848000} is an apocalyptic number.

9028438848000 is a gapful number since it is divisible by the number (90) 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 9028438848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827153226880).

9028438848000 is an abundant number, since it is smaller than the sum of its proper divisors (32625867605760).

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

9028438848000 is a wasteful number, since it uses less digits than its factorization.

9028438848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 9028438848000 in words is "nine trillion, twenty-eight billion, four hundred thirty-eight million, eight hundred forty-eight thousand".