9793728 has 126 divisors (see below), whose sum is σ = 32749236. Its totient is φ = 2790144.

The previous prime is 9793727. The next prime is 9793741. The reversal of 9793728 is 8273979.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is not an unprimeable number, because it can be changed into a prime (9793727) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28051 + ... + 28397.

Almost surely, 2^9793728 is an apocalyptic number.

9793728 is a gapful number since it is divisible by the number (98) 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 9793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374618).

9793728 is an abundant number, since it is smaller than the sum of its proper divisors (22955508).

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

9793728 is a wasteful number, since it uses less digits than its factorization.

9793728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 9793728 is about 3129.4932497131. The cubic root of 9793728 is about 213.9518335711.

The spelling of 9793728 in words is "nine million, seven hundred ninety-three thousand, seven hundred twenty-eight".