9628258320 has 160 divisors (see below), whose sum is σ = 33869975040. Its totient is φ = 2512880640.

The previous prime is 9628258291. The next prime is 9628258327. The reversal of 9628258320 is 238528269.

It is a happy number.

9628258320 is a `hidden beast` number, since 9 + 62 + 8 + 2 + 583 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9628258327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54100 + ... + 148940.

It is an arithmetic number, because the mean of its divisors is an integer number (211687344).

Almost surely, 2^9628258320 is an apocalyptic number.

9628258320 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 9628258320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934987520).

9628258320 is an abundant number, since it is smaller than the sum of its proper divisors (24241716720).

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

9628258320 is a wasteful number, since it uses less digits than its factorization.

9628258320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94910 (or 94898 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9628258320 is about 98123.6888829604. The cubic root of 9628258320 is about 2127.4004390483.

The spelling of 9628258320 in words is "nine billion, six hundred twenty-eight million, two hundred fifty-eight thousand, three hundred twenty".