838319728506 has 64 divisors (see below), whose sum is σ = 1903883788800. Its totient is φ = 243951950016.

The previous prime is 838319728501. The next prime is 838319728511. The reversal of 838319728506 is 605827913838.

It is an interprime number because it is at equal distance from previous prime (838319728501) and next prime (838319728511).

It is a self number, because there is not a number n which added to its sum of digits gives 838319728506.

It is not an unprimeable number, because it can be changed into a prime (838319728501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388105 + ... + 1351763.

It is an arithmetic number, because the mean of its divisors is an integer number (29748184200).

Almost surely, 2^838319728506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838319728506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951941894400).

838319728506 is an abundant number, since it is smaller than the sum of its proper divisors (1065564060294).

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

838319728506 is a wasteful number, since it uses less digits than its factorization.

838319728506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964283.

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 838319728506 in words is "eight hundred thirty-eight billion, three hundred nineteen million, seven hundred twenty-eight thousand, five hundred six".