9728400000 has 576 divisors, whose sum is σ = 36032381280. Its totient is φ = 2323200000.

The previous prime is 9728399939. The next prime is 9728400013. The reversal of 9728400000 is 48279.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145199967 + ... + 145200033.

Almost surely, 2^9728400000 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 9728400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016190640).

9728400000 is an abundant number, since it is smaller than the sum of its proper divisors (26303981280).

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

9728400000 is an equidigital number, since it uses as much as digits as its factorization.

9728400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 9728400000 is about 98632.6517944235. The cubic root of 9728400000 is about 2134.7505773665.

Adding to 9728400000 its reverse (48279), we get a palindrome (9728448279).

The spelling of 9728400000 in words is "nine billion, seven hundred twenty-eight million, four hundred thousand".