9389268000 has 1152 divisors, whose sum is σ = 41947476480. Its totient is φ = 1940889600.

The previous prime is 9389267999. The next prime is 9389268041. The reversal of 9389268000 is 8629839.

9389268000 is a `hidden beast` number, since 9 + 389 + 268 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177155974 + ... + 177156026.

It is an arithmetic number, because the mean of its divisors is an integer number (36412740).

Almost surely, 2^9389268000 is an apocalyptic number.

9389268000 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 9389268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20973738240).

9389268000 is an abundant number, since it is smaller than the sum of its proper divisors (32558208480).

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

9389268000 is a wasteful number, since it uses less digits than its factorization.

9389268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9389268000 is about 96898.2352780483. The cubic root of 9389268000 is about 2109.6508185830.

The spelling of 9389268000 in words is "nine billion, three hundred eighty-nine million, two hundred sixty-eight thousand".