9601728 has 56 divisors (see below), whose sum is σ = 26017728. Its totient is φ = 3123456.

The previous prime is 9601727. The next prime is 9601733. The reversal of 9601728 is 8271069.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

9601728 is a modest number, since divided by 1728 gives 960 as remainder.

It is not an unprimeable number, because it can be changed into a prime (9601721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7675 + ... + 8837.

Almost surely, 2^9601728 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 9601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008864).

9601728 is an abundant number, since it is smaller than the sum of its proper divisors (16416000).

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

9601728 is a wasteful number, since it uses less digits than its factorization.

9601728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 9601728 is about 3098.6655192195. The cubic root of 9601728 is about 212.5444649743.

The spelling of 9601728 in words is "nine million, six hundred one thousand, seven hundred twenty-eight".