9628319376 has 405 divisors, whose sum is σ = 31855806801. Its totient is φ = 2712932352.

The previous prime is 9628319333. The next prime is 9628319381. The reversal of 9628319376 is 6739138269.

The square root of 9628319376 is 98124.

It is a perfect power (a square), and thus also a powerful number.

9628319376 is a `hidden beast` number, since 9 + 628 + 3 + 1 + 9 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1640250000 + 7988069376 = 40500^2 + 89376^2 .

Its product of digits (2939328) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 260224830 + ... + 260224866.

Almost surely, 2^9628319376 is an apocalyptic number.

9628319376 is the 98124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9628319376

9628319376 is an abundant number, since it is smaller than the sum of its proper divisors (22227487425).

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

9628319376 is a wasteful number, since it uses less digits than its factorization.

9628319376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 72 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The cubic root of 9628319376 is about 2127.4049358909.

The spelling of 9628319376 in words is "nine billion, six hundred twenty-eight million, three hundred nineteen thousand, three hundred seventy-six".