10838328984 has 128 divisors (see below), whose sum is σ = 34434892800. Its totient is φ = 3094191360.

The previous prime is 10838328959. The next prime is 10838328989. The reversal of 10838328984 is 48982383801.

It is a happy number.

10838328984 is a `hidden beast` number, since 108 + 383 + 2 + 89 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10838328984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838328989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2790724 + ... + 2794604.

It is an arithmetic number, because the mean of its divisors is an integer number (269022600).

Almost surely, 2^10838328984 is an apocalyptic number.

10838328984 is a gapful number since it is divisible by the number (14) 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 10838328984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17217446400).

10838328984 is an abundant number, since it is smaller than the sum of its proper divisors (23596563816).

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

10838328984 is a wasteful number, since it uses less digits than its factorization.

10838328984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 10838328984 in words is "ten billion, eight hundred thirty-eight million, three hundred twenty-eight thousand, nine hundred eighty-four".