838508832 has 144 divisors (see below), whose sum is σ = 2813271552. Its totient is φ = 231828480.

The previous prime is 838508807. The next prime is 838508851. The reversal of 838508832 is 238805838.

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

It is a super-2 number, since 2×838508832² = 1406194122684008448, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 55788 + ... + 69204.

It is an arithmetic number, because the mean of its divisors is an integer number (19536608).

Almost surely, 2^838508832 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 838508832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406635776).

838508832 is an abundant number, since it is smaller than the sum of its proper divisors (1974762720).

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

838508832 is a wasteful number, since it uses less digits than its factorization.

838508832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13471 (or 13460 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 838508832 is about 28957.0169734384. The cubic root of 838508832 is about 942.9801420016.

The spelling of 838508832 in words is "eight hundred thirty-eight million, five hundred eight thousand, eight hundred thirty-two".