9413065728 has 528 divisors, whose sum is σ = 32546317440. Its totient is φ = 2687385600.

The previous prime is 9413065723. The next prime is 9413065757. The reversal of 9413065728 is 8275603149.

9413065728 is a `hidden beast` number, since 9 + 41 + 30 + 6 + 572 + 8 = 666.

9413065728 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

9413065728 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9413065723) 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, 52005798 + ... + 52005978.

It is a 1-persistent number, because it is pandigital, but 2⋅9413065728 = 18826131456 is not.

Almost surely, 2^9413065728 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 9413065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273158720).

9413065728 is an abundant number, since it is smaller than the sum of its proper divisors (23133251712).

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

9413065728 is a wasteful number, since it uses less digits than its factorization.

9413065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9413065728 is about 97020.9550973397. The cubic root of 9413065728 is about 2111.4316652579.

The spelling of 9413065728 in words is "nine billion, four hundred thirteen million, sixty-five thousand, seven hundred twenty-eight".