9628416000 has 768 divisors, whose sum is σ = 40884480000. Its totient is φ = 2189721600.

The previous prime is 9628415999. The next prime is 9628416019. The reversal of 9628416000 is 6148269.

9628416000 is a `hidden beast` number, since 9 + 6 + 2 + 8 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48383901 + ... + 48384099.

It is an arithmetic number, because the mean of its divisors is an integer number (53235000).

Almost surely, 2^9628416000 is an apocalyptic number.

9628416000 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 9628416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240000).

9628416000 is an abundant number, since it is smaller than the sum of its proper divisors (31256064000).

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

9628416000 is a wasteful number, since it uses less digits than its factorization.

9628416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9628416000 is about 98124.4923553748. The cubic root of 9628416000 is about 2127.4120523176.

The spelling of 9628416000 in words is "nine billion, six hundred twenty-eight million, four hundred sixteen thousand".