9673728000 has 448 divisors, whose sum is σ = 33367845888. Its totient is φ = 2487091200.

The previous prime is 9673727939. The next prime is 9673728023. The reversal of 9673728000 is 8273769.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144383967 + ... + 144384033.

Almost surely, 2^9673728000 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 9673728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16683922944).

9673728000 is an abundant number, since it is smaller than the sum of its proper divisors (23694117888).

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

9673728000 is an equidigital number, since it uses as much as digits as its factorization.

9673728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 9673728000 is about 98355.1117126100. Note that the first 3 decimals coincide. The cubic root of 9673728000 is about 2130.7440808866.

It can be divided in two parts, 96 and 73728000, that multiplied together give a cube (7077888000 = 1920³).

The spelling of 9673728000 in words is "nine billion, six hundred seventy-three million, seven hundred twenty-eight thousand".