1803828282000 has 320 divisors, whose sum is σ = 6162998400000. Its totient is φ = 452331110400.

The previous prime is 1803828281971. The next prime is 1803828282031. The reversal of 1803828282000 is 2828283081.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127390921 + ... + 127405079.

It is an arithmetic number, because the mean of its divisors is an integer number (19259370000).

Almost surely, 2^{1803828282000} is an apocalyptic number.

1803828282000 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 1803828282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081499200000).

1803828282000 is an abundant number, since it is smaller than the sum of its proper divisors (4359170118000).

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

1803828282000 is a wasteful number, since it uses less digits than its factorization.

1803828282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15451 (or 15435 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 1803828282000 in words is "one trillion, eight hundred three billion, eight hundred twenty-eight million, two hundred eighty-two thousand".