9928378293120 has 1536 divisors, whose sum is σ = 43770597212160. Its totient is φ = 2100490444800.

The previous prime is 9928378293091. The next prime is 9928378293137. The reversal of 9928378293120 is 213928738299.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 776193925 + ... + 776206715.

It is an arithmetic number, because the mean of its divisors is an integer number (28496482560).

Almost surely, 2^{9928378293120} is an apocalyptic number.

9928378293120 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 9928378293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21885298606080).

9928378293120 is an abundant number, since it is smaller than the sum of its proper divisors (33842218919040).

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

9928378293120 is a wasteful number, since it uses less digits than its factorization.

9928378293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12886 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 9928378293120 in words is "nine trillion, nine hundred twenty-eight billion, three hundred seventy-eight million, two hundred ninety-three thousand, one hundred twenty".