9028920524800 has 720 divisors, whose sum is σ = 25463010263040. Its totient is φ = 3146121216000.

The previous prime is 9028920524779. The next prime is 9028920524801. The reversal of 9028920524800 is 84250298209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9028920524801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17738546946 + ... + 17738547454.

It is an arithmetic number, because the mean of its divisors is an integer number (35365292032).

Almost surely, 2^{9028920524800} 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 9028920524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731505131520).

9028920524800 is an abundant number, since it is smaller than the sum of its proper divisors (16434089738240).

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

9028920524800 is a wasteful number, since it uses less digits than its factorization.

9028920524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 9028920524800 in words is "nine trillion, twenty-eight billion, nine hundred twenty million, five hundred twenty-four thousand, eight hundred".