1283080128 has 84 divisors (see below), whose sum is σ = 3731559720. Its totient is φ = 388805120.

The previous prime is 1283080103. The next prime is 1283080129. The reversal of 1283080128 is 8210803821.

It is a super-2 number, since 2×1283080128² = 3292589229736992768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283080129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4383 + ... + 50846.

It is an arithmetic number, because the mean of its divisors is an integer number (44423330).

Almost surely, 2^1283080128 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 1283080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865779860).

1283080128 is an abundant number, since it is smaller than the sum of its proper divisors (2448479592).

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

1283080128 is a wasteful number, since it uses less digits than its factorization.

1283080128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55266 (or 55245 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1283080128 is about 35820.1078725344. The cubic root of 1283080128 is about 1086.6372608417.

Adding to 1283080128 its reverse (8210803821), we get a palindrome (9493883949).

The spelling of 1283080128 in words is "one billion, two hundred eighty-three million, eighty thousand, one hundred twenty-eight".