14028080128 has 88 divisors (see below), whose sum is σ = 29789991000. Its totient is φ = 6579683328.

The previous prime is 14028080123. The next prime is 14028080149. The reversal of 14028080128 is 82108082041.

It can be written as a sum of positive squares in 4 ways, for example, as 7851377664 + 6176702464 = 88608^2 + 78592^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 14028080093 and 14028080102.

It is not an unprimeable number, because it can be changed into a prime (14028080123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6074238 + ... + 6076546.

It is an arithmetic number, because the mean of its divisors is an integer number (338522625).

Almost surely, 2^14028080128 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 14028080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894995500).

14028080128 is an abundant number, since it is smaller than the sum of its proper divisors (15761910872).

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

14028080128 is a wasteful number, since it uses less digits than its factorization.

14028080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The spelling of 14028080128 in words is "fourteen billion, twenty-eight million, eighty thousand, one hundred twenty-eight".