1828800 has 126 divisors (see below), whose sum is σ = 6551168. Its totient is φ = 483840.

The previous prime is 1828793. The next prime is 1828829. The reversal of 1828800 is 88281.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14337 + ... + 14463.

2^1828800 is an apocalyptic number.

1828800 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 1828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275584).

1828800 is an abundant number, since it is smaller than the sum of its proper divisors (4722368).

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

1828800 is a wasteful number, since it uses less digits than its factorization.

1828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1828800 is about 1352.3313203502. The cubic root of 1828800 is about 122.2893784593.

It can be divided in two parts, 1828 and 800, that added together give a triangular number (2628 = T₇₂).

The spelling of 1828800 in words is "one million, eight hundred twenty-eight thousand, eight hundred".