9628928 has 36 divisors (see below), whose sum is σ = 19898340. Its totient is φ = 4644864.

The previous prime is 9628921. The next prime is 9628939. The reversal of 9628928 is 8298269.

It can be written as a sum of positive squares in 2 ways, for example, as 8111104 + 1517824 = 2848^2 + 1232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9628921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6776 + ... + 8072.

Almost surely, 2^9628928 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 9628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9949170).

9628928 is an abundant number, since it is smaller than the sum of its proper divisors (10269412).

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

9628928 is a wasteful number, since it uses less digits than its factorization.

9628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1328 counting only the distinct ones).

The product of its digits is 124416, while the sum is 44.

The square root of 9628928 is about 3103.0514014434. The cubic root of 9628928 is about 212.7449760689.

The spelling of 9628928 in words is "nine million, six hundred twenty-eight thousand, nine hundred twenty-eight".