9628020 has 72 divisors (see below), whose sum is σ = 29582280. Its totient is φ = 2534400.

The previous prime is 9628013. The next prime is 9628037. The reversal of 9628020 is 208269.

9628020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 8538084 = 1044^2 + 2922^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15720 + ... + 16320.

It is an arithmetic number, because the mean of its divisors is an integer number (410865).

Almost surely, 2^9628020 is an apocalyptic number.

9628020 is a gapful number since it is divisible by the number (90) 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 9628020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14791140).

9628020 is an abundant number, since it is smaller than the sum of its proper divisors (19954260).

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

9628020 is a wasteful number, since it uses less digits than its factorization.

9628020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9628020 is about 3102.9050903951. The cubic root of 9628020 is about 212.7382886332.

The spelling of 9628020 in words is "nine million, six hundred twenty-eight thousand, twenty".