9628457328 has 240 divisors, whose sum is σ = 32969913600. Its totient is φ = 2561725440.

The previous prime is 9628457323. The next prime is 9628457329. The reversal of 9628457328 is 8237548269.

9628457328 is a `hidden beast` number, since 9 + 62 + 8 + 4 + 573 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9628457323) 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, 1125708 + ... + 1134228.

It is an arithmetic number, because the mean of its divisors is an integer number (137374640).

Almost surely, 2^9628457328 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 9628457328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484956800).

9628457328 is an abundant number, since it is smaller than the sum of its proper divisors (23341456272).

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

9628457328 is a wasteful number, since it uses less digits than its factorization.

9628457328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8620 (or 8611 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 9628457328 is about 98124.7029447733. The cubic root of 9628457328 is about 2127.4150961398.

The spelling of 9628457328 in words is "nine billion, six hundred twenty-eight million, four hundred fifty-seven thousand, three hundred twenty-eight".