9821628 has 48 divisors (see below), whose sum is σ = 25643520. Its totient is φ = 3250800.

The previous prime is 9821599. The next prime is 9821629. The reversal of 9821628 is 8261289.

9821628 is a `hidden beast` number, since 9 + 8 + 21 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9821592 and 9821601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9821629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22573 + ... + 23003.

It is an arithmetic number, because the mean of its divisors is an integer number (534240).

Almost surely, 2^9821628 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 9821628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821760).

9821628 is an abundant number, since it is smaller than the sum of its proper divisors (15821892).

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

9821628 is a wasteful number, since it uses less digits than its factorization.

9821628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 9821628 is about 3133.9476702715. The cubic root of 9821628 is about 214.1548069020.

The spelling of 9821628 in words is "nine million, eight hundred twenty-one thousand, six hundred twenty-eight".