9928295858400 has 576 divisors, whose sum is σ = 33642563613120. Its totient is φ = 2540132761600.

The previous prime is 9928295858363. The next prime is 9928295858407. The reversal of 9928295858400 is 48585928299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9928295858407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12092929990 + ... + 12092930810.

It is an arithmetic number, because the mean of its divisors is an integer number (58407228495).

Almost surely, 2^{9928295858400} 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 9928295858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16821281806560).

9928295858400 is an abundant number, since it is smaller than the sum of its proper divisors (23714267754720).

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

9928295858400 is a wasteful number, since it uses less digits than its factorization.

9928295858400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 69.

The spelling of 9928295858400 in words is "nine trillion, nine hundred twenty-eight billion, two hundred ninety-five million, eight hundred fifty-eight thousand, four hundred".