845468928 has 108 divisors (see below), whose sum is σ = 2528166368. Its totient is φ = 281802240.

The previous prime is 845468927. The next prime is 845468933. The reversal of 845468928 is 829864548.

845468928 is a `hidden beast` number, since 8 + 4 + 546 + 8 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845468927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55413 + ... + 69003.

Almost surely, 2^845468928 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 845468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264083184).

845468928 is an abundant number, since it is smaller than the sum of its proper divisors (1682697440).

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

845468928 is an equidigital number, since it uses as much as digits as its factorization.

845468928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13622 (or 13596 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 845468928 is about 29076.9483955934. The cubic root of 845468928 is about 945.5820450609.

The spelling of 845468928 in words is "eight hundred forty-five million, four hundred sixty-eight thousand, nine hundred twenty-eight".