9628264800 has 864 divisors, whose sum is σ = 44243418240. Its totient is φ = 1998259200.

The previous prime is 9628264757. The next prime is 9628264813. The reversal of 9628264800 is 84628269.

9628264800 is a `hidden beast` number, since 96 + 2 + 82 + 6 + 480 + 0 = 666.

9628264800 is digitally balanced in base 2, 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 (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 11641987 + ... + 11642813.

It is an arithmetic number, because the mean of its divisors is an integer number (51207660).

Almost surely, 2^9628264800 is an apocalyptic number.

9628264800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9628264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22121709120).

9628264800 is an abundant number, since it is smaller than the sum of its proper divisors (34615153440).

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

9628264800 is a wasteful number, since it uses less digits than its factorization.

9628264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 9628264800 is about 98123.7219025043. The cubic root of 9628264800 is about 2127.4009163084.

The spelling of 9628264800 in words is "nine billion, six hundred twenty-eight million, two hundred sixty-four thousand, eight hundred".