1882784000 has 144 divisors (see below), whose sum is σ = 4967582256. Its totient is φ = 708608000.

The previous prime is 1882783957. The next prime is 1882784003. The reversal of 1882784000 is 4872881.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 635846656 + 1246937344 = 25216^2 + 35312^2 .

It is not an unprimeable number, because it can be changed into a prime (1882784003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542270 + ... + 545730.

It is an arithmetic number, because the mean of its divisors is an integer number (34497099).

Almost surely, 2^1882784000 is an apocalyptic number.

1882784000 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 1882784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483791128).

1882784000 is an abundant number, since it is smaller than the sum of its proper divisors (3084798256).

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

1882784000 is an equidigital number, since it uses as much as digits as its factorization.

1882784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 1882784000 is about 43391.0589868466. The cubic root of 1882784000 is about 1234.8100807794.

The spelling of 1882784000 in words is "one billion, eight hundred eighty-two million, seven hundred eighty-four thousand".