9628845460 has 96 divisors (see below), whose sum is σ = 22965868800. Its totient is φ = 3361720320.

The previous prime is 9628845433. The next prime is 9628845467. The reversal of 9628845460 is 645488269.

9628845460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9628845460² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 9628845398 and 9628845407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9628845467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115596 + ... + 3118684.

It is an arithmetic number, because the mean of its divisors is an integer number (239227800).

Almost surely, 2^9628845460 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 9628845460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11482934400).

9628845460 is an abundant number, since it is smaller than the sum of its proper divisors (13337023340).

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

9628845460 is a wasteful number, since it uses less digits than its factorization.

9628845460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The square root of 9628845460 is about 98126.6806735049. The cubic root of 9628845460 is about 2127.4436817776.

The spelling of 9628845460 in words is "nine billion, six hundred twenty-eight million, eight hundred forty-five thousand, four hundred sixty".