9693728411328 has 252 divisors, whose sum is σ = 30238316612400. Its totient is φ = 2967691364352.

The previous prime is 9693728411327. The next prime is 9693728411351. The reversal of 9693728411328 is 8231148273969.

9693728411328 is a `hidden beast` number, since 96 + 9 + 372 + 8 + 41 + 132 + 8 = 666.

9693728411328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9693728411327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19121250 + ... + 19621662.

Almost surely, 2^{9693728411328} 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 9693728411328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119158306200).

9693728411328 is an abundant number, since it is smaller than the sum of its proper divisors (20544588201072).

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

9693728411328 is a wasteful number, since it uses less digits than its factorization.

9693728411328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500656 (or 500630 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 9693728411328 in words is "nine trillion, six hundred ninety-three billion, seven hundred twenty-eight million, four hundred eleven thousand, three hundred twenty-eight".