1828704900 has 144 divisors (see below), whose sum is σ = 5827127040. Its totient is φ = 439094400.

The previous prime is 1828704893. The next prime is 1828704923. The reversal of 1828704900 is 94078281.

It is a super-2 number, since 2×1828704900² = 6688323222568020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350511 + ... + 355689.

It is an arithmetic number, because the mean of its divisors is an integer number (40466160).

Almost surely, 2^1828704900 is an apocalyptic number.

1828704900 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 1828704900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913563520).

1828704900 is an abundant number, since it is smaller than the sum of its proper divisors (3998422140).

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

1828704900 is a wasteful number, since it uses less digits than its factorization.

1828704900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 1828704900 is about 42763.3593161248. The cubic root of 1828704900 is about 1222.8725868655.

The spelling of 1828704900 in words is "one billion, eight hundred twenty-eight million, seven hundred four thousand, nine hundred".