1828684800 has 198 divisors, whose sum is σ = 6548381658. Its totient is φ = 487587840.

The previous prime is 1828684787. The next prime is 1828684817. The reversal of 1828684800 is 84868281.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 580617216 + 1248067584 = 24096^2 + 35328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 226432 + ... + 234368.

Almost surely, 2^1828684800 is an apocalyptic number.

1828684800 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 1828684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274190829).

1828684800 is an abundant number, since it is smaller than the sum of its proper divisors (4719696858).

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

1828684800 is a wasteful number, since it uses less digits than its factorization.

1828684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7973 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1828684800 is about 42763.1243012014. The cubic root of 1828684800 is about 1222.8681064945.

The spelling of 1828684800 in words is "one billion, eight hundred twenty-eight million, six hundred eighty-four thousand, eight hundred".