846706728 has 192 divisors, whose sum is σ = 2668584960. Its totient is φ = 218858112.

The previous prime is 846706727. The next prime is 846706733. The reversal of 846706728 is 827607648.

846706728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (846706727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1394601 + ... + 1395207.

It is an arithmetic number, because the mean of its divisors is an integer number (13898880).

Almost surely, 2^846706728 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 846706728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334292480).

846706728 is an abundant number, since it is smaller than the sum of its proper divisors (1821878232).

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

846706728 is a wasteful number, since it uses less digits than its factorization.

846706728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 846706728 is about 29098.2255129071. The cubic root of 846706728 is about 946.0432765700.

The spelling of 846706728 in words is "eight hundred forty-six million, seven hundred six thousand, seven hundred twenty-eight".