849788928 has 240 divisors, whose sum is σ = 2689515360. Its totient is φ = 264241152.

The previous prime is 849788923. The next prime is 849788941. The reversal of 849788928 is 829887948.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (849788923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7520200 + ... + 7520312.

It is an arithmetic number, because the mean of its divisors is an integer number (11206314).

Almost surely, 2^849788928 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 849788928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344757680).

849788928 is an abundant number, since it is smaller than the sum of its proper divisors (1839726432).

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

849788928 is a wasteful number, since it uses less digits than its factorization.

849788928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 135 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The square root of 849788928 is about 29151.1393945417. The cubic root of 849788928 is about 947.1898221453.

The spelling of 849788928 in words is "eight hundred forty-nine million, seven hundred eighty-eight thousand, nine hundred twenty-eight".