846828648 has 64 divisors (see below), whose sum is σ = 2355864000. Its totient is φ = 281848896.

The previous prime is 846828629. The next prime is 846828673.

846828648 is nontrivially palindromic in base 10.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 846828594 and 846828603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160923 + ... + 166101.

It is an arithmetic number, because the mean of its divisors is an integer number (36810375).

Almost surely, 2^846828648 is an apocalyptic number.

It is an amenable number.

846828648 is an abundant number, since it is smaller than the sum of its proper divisors (1509035352).

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

846828648 is a wasteful number, since it uses less digits than its factorization.

846828648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5941 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 846828648 is about 29100.3204106072. The cubic root of 846828648 is about 946.0886823194.

The spelling of 846828648 in words is "eight hundred forty-six million, eight hundred twenty-eight thousand, six hundred forty-eight".