1828300 has 36 divisors (see below), whose sum is σ = 4062240. Its totient is φ = 713920.

The previous prime is 1828291. The next prime is 1828301. The reversal of 1828300 is 38281.

It is not an unprimeable number, because it can be changed into a prime (1828301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4506 + ... + 4894.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

2^1828300 is an apocalyptic number.

1828300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031120).

1828300 is an abundant number, since it is smaller than the sum of its proper divisors (2233940).

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

1828300 is a wasteful number, since it uses less digits than its factorization.

1828300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1828300 is about 1352.1464417732. The cubic root of 1828300 is about 122.2782326693.

The spelling of 1828300 in words is "one million, eight hundred twenty-eight thousand, three hundred".