9965728 has 48 divisors (see below), whose sum is σ = 21258720. Its totient is φ = 4582656.

The previous prime is 9965717. The next prime is 9965729. The reversal of 9965728 is 8275699.

9965728 is nontrivially palindromic in base 15.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (9965729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22275 + ... + 22717.

It is an arithmetic number, because the mean of its divisors is an integer number (442890).

Almost surely, 2^9965728 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 9965728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629360).

9965728 is an abundant number, since it is smaller than the sum of its proper divisors (11292992).

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

9965728 is a wasteful number, since it uses less digits than its factorization.

9965728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 9965728 is about 3156.8541303012. The cubic root of 9965728 is about 215.1970646771.

It can be divided in two parts, 996 and 5728, that added together give a square (6724 = 82²).

The spelling of 9965728 in words is "nine million, nine hundred sixty-five thousand, seven hundred twenty-eight".