838013280 has 192 divisors, whose sum is σ = 2966906880. Its totient is φ = 197277696.

The previous prime is 838013251. The next prime is 838013291. The reversal of 838013280 is 82310838.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140601 + ... + 146439.

It is an arithmetic number, because the mean of its divisors is an integer number (15452640).

Almost surely, 2^838013280 is an apocalyptic number.

838013280 is a gapful number since it is divisible by the number (80) 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 838013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483453440).

838013280 is an abundant number, since it is smaller than the sum of its proper divisors (2128893600).

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

838013280 is a wasteful number, since it uses less digits than its factorization.

838013280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 838013280 is about 28948.4590263454. The cubic root of 838013280 is about 942.7943408255.

The spelling of 838013280 in words is "eight hundred thirty-eight million, thirteen thousand, two hundred eighty".