838729728 has 180 divisors, whose sum is σ = 2537544240. Its totient is φ = 276037632.

The previous prime is 838729709. The next prime is 838729733. The reversal of 838729728 is 827927838.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2709504) is a multiple of the sum of its prime divisors (84).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10616793 + ... + 10616871.

It is an arithmetic number, because the mean of its divisors is an integer number (14097468).

Almost surely, 2^838729728 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 838729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268772120).

838729728 is an abundant number, since it is smaller than the sum of its proper divisors (1698814512).

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

838729728 is an frugal number, since it uses more digits than its factorization.

838729728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 838729728 is about 28960.8309273059. The cubic root of 838729728 is about 943.0629406734.

The spelling of 838729728 in words is "eight hundred thirty-eight million, seven hundred twenty-nine thousand, seven hundred twenty-eight".