9828672 has 112 divisors (see below), whose sum is σ = 30431232. Its totient is φ = 2741760.

The previous prime is 9828653. The next prime is 9828677. The reversal of 9828672 is 2768289.

It is a happy number.

9828672 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9828677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95373 + ... + 95475.

Almost surely, 2^9828672 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 9828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15215616).

9828672 is an abundant number, since it is smaller than the sum of its proper divisors (20602560).

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

9828672 is a wasteful number, since it uses less digits than its factorization.

9828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 9828672 is about 3135.0712910554. The cubic root of 9828672 is about 214.2059914229.

The spelling of 9828672 in words is "nine million, eight hundred twenty-eight thousand, six hundred seventy-two".