9788152320 has 640 divisors, whose sum is σ = 37334753280. Its totient is φ = 2424913920.

The previous prime is 9788152303. The next prime is 9788152349. The reversal of 9788152320 is 232518879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74718655 + ... + 74718785.

It is an arithmetic number, because the mean of its divisors is an integer number (58335552).

Almost surely, 2^9788152320 is an apocalyptic number.

9788152320 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 9788152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667376640).

9788152320 is an abundant number, since it is smaller than the sum of its proper divisors (27546600960).

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

9788152320 is a wasteful number, since it uses less digits than its factorization.

9788152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 9788152320 is about 98935.0914488889. The cubic root of 9788152320 is about 2139.1122413164.

The spelling of 9788152320 in words is "nine billion, seven hundred eighty-eight million, one hundred fifty-two thousand, three hundred twenty".