1283813128 has 64 divisors (see below), whose sum is σ = 2736720000. Its totient is φ = 559706112.

The previous prime is 1283813119. The next prime is 1283813171. The reversal of 1283813128 is 8213183821.

It is a super-2 number, since 2×1283813128² = 3296352295250288768, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886501 + ... + 887947.

It is an arithmetic number, because the mean of its divisors is an integer number (42761250).

Almost surely, 2^1283813128 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 1283813128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368360000).

1283813128 is an abundant number, since it is smaller than the sum of its proper divisors (1452906872).

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

1283813128 is a wasteful number, since it uses less digits than its factorization.

1283813128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1930 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 1283813128 is about 35830.3380949720. The cubic root of 1283813128 is about 1086.8441467217.

Adding to 1283813128 its reverse (8213183821), we get a palindrome (9496996949).

The spelling of 1283813128 in words is "one billion, two hundred eighty-three million, eight hundred thirteen thousand, one hundred twenty-eight".