9028823040000 has 675 divisors, whose sum is σ = 32697117786333. Its totient is φ = 2399993856000.

The previous prime is 9028823039969. The next prime is 9028823040011. The reversal of 9028823040000 is 403288209.

The square root of 9028823040000 is 3004800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 8658847678464 + 369975361536 = 2942592^2 + 608256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28846079844 + ... + 28846080156.

Almost surely, 2^{9028823040000} is an apocalyptic number.

9028823040000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9028823040000 is the 3004800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9028823040000

9028823040000 is an abundant number, since it is smaller than the sum of its proper divisors (23668294746333).

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

9028823040000 is an frugal number, since it uses more digits than its factorization.

9028823040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 9028823040000 by its sum of digits (36), we get a square (325037629440000 = 18028800²).

9028823040000 divided by its sum of digits (36) gives a square (250800640000 = 500800²).

The spelling of 9028823040000 in words is "nine trillion, twenty-eight billion, eight hundred twenty-three million, forty thousand".