845928 has 48 divisors (see below), whose sum is σ = 2371200. Its totient is φ = 272160.

The previous prime is 845927. The next prime is 845941. The reversal of 845928 is 829548.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 845892 and 845901.

It is not an unprimeable number, because it can be changed into a prime (845921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2043 + ... + 2421.

It is an arithmetic number, because the mean of its divisors is an integer number (49400).

2⁸⁴⁵⁹²⁸ 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 845928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185600).

845928 is an abundant number, since it is smaller than the sum of its proper divisors (1525272).

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

845928 is a wasteful number, since it uses less digits than its factorization.

845928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 415 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 845928 is about 919.7434424882. The cubic root of 845928 is about 94.5753157873.

The spelling of 845928 in words is "eight hundred forty-five thousand, nine hundred twenty-eight".