1828383648 has 288 divisors, whose sum is σ = 6225932160. Its totient is φ = 465131520.

The previous prime is 1828383631. The next prime is 1828383649. The reversal of 1828383648 is 8463838281.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1828383648.

It is not an unprimeable number, because it can be changed into a prime (1828383649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1772893 + ... + 1773923.

It is an arithmetic number, because the mean of its divisors is an integer number (21617820).

Almost surely, 2^1828383648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828383648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112966080).

1828383648 is an abundant number, since it is smaller than the sum of its proper divisors (4397548512).

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

1828383648 is a wasteful number, since it uses less digits than its factorization.

1828383648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1085 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 1828383648 is about 42759.6029916088. The cubic root of 1828383648 is about 1222.8009745693.

The spelling of 1828383648 in words is "one billion, eight hundred twenty-eight million, three hundred eighty-three thousand, six hundred forty-eight".