1828864 has 48 divisors (see below), whose sum is σ = 3931200. Its totient is φ = 847872.

The previous prime is 1828847. The next prime is 1828867. The reversal of 1828864 is 4688281.

It is not an unprimeable number, because it can be changed into a prime (1828867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38889 + ... + 38935.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2^1828864 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 1828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965600).

1828864 is an abundant number, since it is smaller than the sum of its proper divisors (2102336).

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

1828864 is an equidigital number, since it uses as much as digits as its factorization.

1828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its digits is 24576, while the sum is 37.

The square root of 1828864 is about 1352.3549829834. The cubic root of 1828864 is about 122.2908049738.

It can be divided in two parts, 18 and 28864, that added together give a palindrome (28882).

The spelling of 1828864 in words is "one million, eight hundred twenty-eight thousand, eight hundred sixty-four".