9667728 has 160 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 2623104.

The previous prime is 9667727. The next prime is 9667729. The reversal of 9667728 is 8277669.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9667727) and next prime (9667729).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9667727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69483 + ... + 69621.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 2^9667728 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 9667728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665600).

9667728 is an abundant number, since it is smaller than the sum of its proper divisors (23663472).

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

9667728 is a wasteful number, since it uses less digits than its factorization.

9667728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 9667728 is about 3109.2970266605. The cubic root of 9667728 is about 213.0303467970.

The spelling of 9667728 in words is "nine million, six hundred sixty-seven thousand, seven hundred twenty-eight".