9218728000 has 112 divisors (see below), whose sum is σ = 22926129408. Its totient is φ = 3672000000.

The previous prime is 9218727997. The next prime is 9218728021. The reversal of 9218728000 is 8278129.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2005705 + ... + 2010295.

It is an arithmetic number, because the mean of its divisors is an integer number (204697584).

Almost surely, 2^9218728000 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 9218728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463064704).

9218728000 is an abundant number, since it is smaller than the sum of its proper divisors (13707401408).

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

9218728000 is a wasteful number, since it uses less digits than its factorization.

9218728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 9218728000 is about 96014.2072820476. The cubic root of 9218728000 is about 2096.7999636662.

The spelling of 9218728000 in words is "nine billion, two hundred eighteen million, seven hundred twenty-eight thousand".