9328000 has 128 divisors (see below), whose sum is σ = 25777440. Its totient is φ = 3328000.

The previous prime is 9327973. The next prime is 9328003. The reversal of 9328000 is 8239.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9328003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175974 + ... + 176026.

Almost surely, 2^9328000 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 9328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888720).

9328000 is an abundant number, since it is smaller than the sum of its proper divisors (16449440).

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

9328000 is a wasteful number, since it uses less digits than its factorization.

9328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 9328000 is about 3054.1774670114. The cubic root of 9328000 is about 210.5052084102.

The spelling of 9328000 in words is "nine million, three hundred twenty-eight thousand".