1283841328 has 80 divisors (see below), whose sum is σ = 3115800576. Its totient is φ = 497848320.

The previous prime is 1283841257. The next prime is 1283841341. The reversal of 1283841328 is 8231483821.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272400 + ... + 277072.

Almost surely, 2^1283841328 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 1283841328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557900288).

1283841328 is an abundant number, since it is smaller than the sum of its proper divisors (1831959248).

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

1283841328 is a wasteful number, since it uses less digits than its factorization.

1283841328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922 (or 4916 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 1283841328 is about 35830.7316140768. The cubic root of 1283841328 is about 1086.8521044687.

The spelling of 1283841328 in words is "one billion, two hundred eighty-three million, eight hundred forty-one thousand, three hundred twenty-eight".