846844128 has 216 divisors, whose sum is σ = 2647427328. Its totient is φ = 256628736.

The previous prime is 846844127. The next prime is 846844133. The reversal of 846844128 is 821448648.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846844127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6181276 + ... + 6181412.

It is an arithmetic number, because the mean of its divisors is an integer number (12256608).

Almost surely, 2^846844128 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 846844128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323713664).

846844128 is an abundant number, since it is smaller than the sum of its proper divisors (1800583200).

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

846844128 is a wasteful number, since it uses less digits than its factorization.

846844128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 282 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 846844128 is about 29100.5863858445. The cubic root of 846844128 is about 946.0944471077.

The spelling of 846844128 in words is "eight hundred forty-six million, eight hundred forty-four thousand, one hundred twenty-eight".