1828409600 has 108 divisors (see below), whose sum is σ = 4568861220. Its totient is φ = 724377600.

The previous prime is 1828409567. The next prime is 1828409659. The reversal of 1828409600 is 69048281.

It can be written as a sum of positive squares in 6 ways, for example, as 33362176 + 1795047424 = 5776^2 + 42368^2 .

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, 696290 + ... + 698910.

Almost surely, 2^1828409600 is an apocalyptic number.

1828409600 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 1828409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284430610).

1828409600 is an abundant number, since it is smaller than the sum of its proper divisors (2740451620).

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

1828409600 is a wasteful number, since it uses less digits than its factorization.

1828409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1828409600 is about 42759.9064545282. The cubic root of 1828409600 is about 1222.8067600037.

The spelling of 1828409600 in words is "one billion, eight hundred twenty-eight million, four hundred nine thousand, six hundred".