9728755200 has 360 divisors, whose sum is σ = 35290226400. Its totient is φ = 2559098880.

The previous prime is 9728755159. The next prime is 9728755213. The reversal of 9728755200 is 25578279.

It is a happy number.

9728755200 is a `hidden beast` number, since 97 + 2 + 8 + 7 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9100266 + ... + 9101334.

Almost surely, 2^9728755200 is an apocalyptic number.

9728755200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9728755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17645113200).

9728755200 is an abundant number, since it is smaller than the sum of its proper divisors (25561471200).

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

9728755200 is a wasteful number, since it uses less digits than its factorization.

9728755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 9728755200 is about 98634.4523987435. The cubic root of 9728755200 is about 2134.7765581437.

The spelling of 9728755200 in words is "nine billion, seven hundred twenty-eight million, seven hundred fifty-five thousand, two hundred".