1828611200 has 192 divisors, whose sum is σ = 4920388200. Its totient is φ = 667484160.

The previous prime is 1828611181. The next prime is 1828611233. The reversal of 1828611200 is 21168281.

It can be written as a sum of positive squares in 12 ways, for example, as 290089024 + 1538522176 = 17032^2 + 39224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4700606 + ... + 4700994.

Almost surely, 2^1828611200 is an apocalyptic number.

1828611200 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 1828611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460194100).

1828611200 is an abundant number, since it is smaller than the sum of its proper divisors (3091777000).

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

1828611200 is a wasteful number, since it uses less digits than its factorization.

1828611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 1828611200 is about 42762.2637380202. The cubic root of 1828611200 is about 1222.8517004778.

Adding to 1828611200 its reverse (21168281), we get a palindrome (1849779481).

The spelling of 1828611200 in words is "one billion, eight hundred twenty-eight million, six hundred eleven thousand, two hundred".