10984128 has 56 divisors (see below), whose sum is σ = 30601920. Its totient is φ = 3467520.

The previous prime is 10984123. The next prime is 10984151. The reversal of 10984128 is 82148901.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (10984121) 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 7 ways as a sum of consecutive naturals, for example, 2143 + ... + 5153.

Almost surely, 2^10984128 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 10984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300960).

10984128 is an abundant number, since it is smaller than the sum of its proper divisors (19617792).

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

10984128 is a wasteful number, since it uses less digits than its factorization.

10984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 10984128 is about 3314.2311325555. The cubic root of 10984128 is about 222.2909908649.

The spelling of 10984128 in words is "ten million, nine hundred eighty-four thousand, one hundred twenty-eight".