9429728000 has 576 divisors, whose sum is σ = 30304834560. Its totient is φ = 2838528000.

The previous prime is 9429727999. The next prime is 9429728039. The reversal of 9429728000 is 8279249.

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, 105951956 + ... + 105952044.

It is an arithmetic number, because the mean of its divisors is an integer number (52612560).

Almost surely, 2^9429728000 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 9429728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152417280).

9429728000 is an abundant number, since it is smaller than the sum of its proper divisors (20875106560).

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

9429728000 is a wasteful number, since it uses less digits than its factorization.

9429728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 9429728000 is about 97106.7865805475. The cubic root of 9429728000 is about 2112.6767612325.

The spelling of 9429728000 in words is "nine billion, four hundred twenty-nine million, seven hundred twenty-eight thousand".