9725284128 has 96 divisors (see below), whose sum is σ = 29276021376. Its totient is φ = 2769113088.

The previous prime is 9725284123. The next prime is 9725284141. The reversal of 9725284128 is 8214825279.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9725284123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172200 + ... + 221592.

It is an arithmetic number, because the mean of its divisors is an integer number (304958556).

Almost surely, 2^9725284128 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 9725284128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14638010688).

9725284128 is an abundant number, since it is smaller than the sum of its proper divisors (19550737248).

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

9725284128 is a wasteful number, since it uses less digits than its factorization.

9725284128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49706 (or 49698 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 9725284128 is about 98616.8551922033. The cubic root of 9725284128 is about 2134.5226426662.

The spelling of 9725284128 in words is "nine billion, seven hundred twenty-five million, two hundred eighty-four thousand, one hundred twenty-eight".