9788688000 has 1280 divisors, whose sum is σ = 45284279040. Its totient is φ = 2040422400.

The previous prime is 9788687989. The next prime is 9788688011. The reversal of 9788688000 is 8868879.

It is an interprime number because it is at equal distance from previous prime (9788687989) and next prime (9788688011).

It is a super-2 number, since 2×9788688000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117935959 + ... + 117936041.

It is an arithmetic number, because the mean of its divisors is an integer number (35378343).

Almost surely, 2^9788688000 is an apocalyptic number.

9788688000 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 9788688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22642139520).

9788688000 is an abundant number, since it is smaller than the sum of its proper divisors (35495591040).

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

9788688000 is a wasteful number, since it uses less digits than its factorization.

9788688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 9788688000 is about 98937.7986413686. The cubic root of 9788688000 is about 2139.1512632791.

The spelling of 9788688000 in words is "nine billion, seven hundred eighty-eight million, six hundred eighty-eight thousand".