1283819328 has 448 divisors, whose sum is σ = 4542739200. Its totient is φ = 350945280.

The previous prime is 1283819323. The next prime is 1283819353. The reversal of 1283819328 is 8239183821.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283819323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9370876 + ... + 9371012.

Almost surely, 2^1283819328 is an apocalyptic number.

1283819328 is a gapful number since it is divisible by the number (18) 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 1283819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271369600).

1283819328 is an abundant number, since it is smaller than the sum of its proper divisors (3258919872).

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

1283819328 is a wasteful number, since it uses less digits than its factorization.

1283819328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1283819328 is about 35830.4246137274. The cubic root of 1283819328 is about 1086.8458963073.

The spelling of 1283819328 in words is "one billion, two hundred eighty-three million, eight hundred nineteen thousand, three hundred twenty-eight".