838480617828 has 288 divisors, whose sum is σ = 2678117105664. Its totient is φ = 215522233344.

The previous prime is 838480617773. The next prime is 838480617847. The reversal of 838480617828 is 828716084838.

838480617828 is a `hidden beast` number, since 8 + 3 + 8 + 4 + 8 + 0 + 617 + 8 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264753901 + ... + 264757067.

It is an arithmetic number, because the mean of its divisors is an integer number (9299017728).

Almost surely, 2^838480617828 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 838480617828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339058552832).

838480617828 is an abundant number, since it is smaller than the sum of its proper divisors (1839636487836).

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

838480617828 is a wasteful number, since it uses less digits than its factorization.

838480617828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 838480617828 in words is "eight hundred thirty-eight billion, four hundred eighty million, six hundred seventeen thousand, eight hundred twenty-eight".