10638442128 has 80 divisors (see below), whose sum is σ = 28537012800. Its totient is φ = 3411018240.

The previous prime is 10638442097. The next prime is 10638442153. The reversal of 10638442128 is 82124483601.

10638442128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10638442128² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360243 + ... + 388653.

It is an arithmetic number, because the mean of its divisors is an integer number (356712660).

Almost surely, 2^10638442128 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 10638442128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268506400).

10638442128 is an abundant number, since it is smaller than the sum of its proper divisors (17898570672).

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

10638442128 is a wasteful number, since it uses less digits than its factorization.

10638442128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28720 (or 28714 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 10638442128 in words is "ten billion, six hundred thirty-eight million, four hundred forty-two thousand, one hundred twenty-eight".