9521411328 has 720 divisors, whose sum is σ = 35317867200. Its totient is φ = 2523156480.

The previous prime is 9521411321. The next prime is 9521411377. The reversal of 9521411328 is 8231141259.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (17280) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 9521411292 and 9521411301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9521411321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 501126903 + ... + 501126921.

Almost surely, 2^9521411328 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 9521411328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658933600).

9521411328 is an abundant number, since it is smaller than the sum of its proper divisors (25796455872).

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

9521411328 is a wasteful number, since it uses less digits than its factorization.

9521411328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 9521411328 is about 97577.7194240570. The cubic root of 9521411328 is about 2119.5017317194.

The spelling of 9521411328 in words is "nine billion, five hundred twenty-one million, four hundred eleven thousand, three hundred twenty-eight".