838913280 has 288 divisors, whose sum is σ = 2892734208. Its totient is φ = 206438400.

The previous prime is 838913249. The next prime is 838913281. The reversal of 838913280 is 82319838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838913281) 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, 4634790 + ... + 4634970.

It is an arithmetic number, because the mean of its divisors is an integer number (10044216).

Almost surely, 2^838913280 is an apocalyptic number.

838913280 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 838913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446367104).

838913280 is an abundant number, since it is smaller than the sum of its proper divisors (2053820928).

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

838913280 is a wasteful number, since it uses less digits than its factorization.

838913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 838913280 is about 28963.9997237951. Note that the first 3 decimals coincide. The cubic root of 838913280 is about 943.1317305975.

The spelling of 838913280 in words is "eight hundred thirty-eight million, nine hundred thirteen thousand, two hundred eighty".