9802240128 has 72 divisors (see below), whose sum is σ = 28216640205. Its totient is φ = 3266293248.

The previous prime is 9802240109. The next prime is 9802240187. The reversal of 9802240128 is 8210422089.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5263792704 + 4538447424 = 72552^2 + 67368^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=70008.

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 = 9802240092 and 9802240101.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3358926 + ... + 3361842.

Almost surely, 2^9802240128 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 9802240128

9802240128 is an abundant number, since it is smaller than the sum of its proper divisors (18414400077).

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

9802240128 is an frugal number, since it uses more digits than its factorization.

9802240128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 9802240128 is about 99006.2630746156. The cubic root of 9802240128 is about 2140.1380037360.

Multiplying 9802240128 by its product of nonzero digits (18432), we get a square (180674890039296 = 13441536²).

The spelling of 9802240128 in words is "nine billion, eight hundred two million, two hundred forty thousand, one hundred twenty-eight".