838981728 has 144 divisors (see below), whose sum is σ = 2580950736. Its totient is φ = 256988160.

The previous prime is 838981723. The next prime is 838981769. The reversal of 838981728 is 827189838.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838981723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238926 + ... + 1239602.

It is an arithmetic number, because the mean of its divisors is an integer number (17923269).

Almost surely, 2^838981728 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 838981728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290475368).

838981728 is an abundant number, since it is smaller than the sum of its proper divisors (1741969008).

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

838981728 is a wasteful number, since it uses less digits than its factorization.

838981728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1026 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 838981728 is about 28965.1813044559. The cubic root of 838981728 is about 943.1573803385.

The spelling of 838981728 in words is "eight hundred thirty-eight million, nine hundred eighty-one thousand, seven hundred twenty-eight".