1828944 has 60 divisors (see below), whose sum is σ = 5517876. Its totient is φ = 562176.

The previous prime is 1828933. The next prime is 1828973. The reversal of 1828944 is 4498281.

It can be written as a sum of positive squares in 2 ways, for example, as 1040400 + 788544 = 1020^2 + 888^2 .

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

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 = 1828899 and 1828908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1384 + ... + 2360.

2^1828944 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 1828944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758938).

1828944 is an abundant number, since it is smaller than the sum of its proper divisors (3688932).

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

1828944 is a wasteful number, since it uses less digits than its factorization.

1828944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 995 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1828944 is about 1352.3845606927. The cubic root of 1828944 is about 122.2925880701.

It can be divided in two parts, 1828 and 944, that added together give a palindrome (2772).

The spelling of 1828944 in words is "one million, eight hundred twenty-eight thousand, nine hundred forty-four".