10208734128 has 160 divisors (see below), whose sum is σ = 29923084800. Its totient is φ = 3331378944.

The previous prime is 10208734127. The next prime is 10208734169. The reversal of 10208734128 is 82143780201.

10208734128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10208734092 and 10208734101.

It is not an unprimeable number, because it can be changed into a prime (10208734127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7467301 + ... + 7468667.

It is an arithmetic number, because the mean of its divisors is an integer number (187019280).

Almost surely, 2^10208734128 is an apocalyptic number.

10208734128 is a gapful number since it is divisible by the number (18) 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 10208734128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961542400).

10208734128 is an abundant number, since it is smaller than the sum of its proper divisors (19714350672).

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

10208734128 is a wasteful number, since it uses less digits than its factorization.

10208734128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10208734128 in words is "ten billion, two hundred eight million, seven hundred thirty-four thousand, one hundred twenty-eight".