9628998400 has 324 divisors, whose sum is σ = 28172394768. Its totient is φ = 3191685120.

The previous prime is 9628998397. The next prime is 9628998427. The reversal of 9628998400 is 48998269.

It is a super-3 number, since 3×9628998400³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61331122 + ... + 61331278.

Almost surely, 2^9628998400 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 9628998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086197384).

9628998400 is an abundant number, since it is smaller than the sum of its proper divisors (18543396368).

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

9628998400 is a wasteful number, since it uses less digits than its factorization.

9628998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 55.

The square root of 9628998400 is about 98127.4599691646. The cubic root of 9628998400 is about 2127.4549454857.

The spelling of 9628998400 in words is "nine billion, six hundred twenty-eight million, nine hundred ninety-eight thousand, four hundred".