1282984128 has 168 divisors, whose sum is σ = 3851452800. Its totient is φ = 407801856.

The previous prime is 1282984127. The next prime is 1282984133. The reversal of 1282984128 is 8214892821.

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

It is not an unprimeable number, because it can be changed into a prime (1282984121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1486225 + ... + 1487087.

Almost surely, 2^1282984128 is an apocalyptic number.

1282984128 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 1282984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925726400).

1282984128 is an abundant number, since it is smaller than the sum of its proper divisors (2568468672).

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

1282984128 is a wasteful number, since it uses less digits than its factorization.

1282984128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 986 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 1282984128 is about 35818.7678180029. The cubic root of 1282984128 is about 1086.6101594481.

The spelling of 1282984128 in words is "one billion, two hundred eighty-two million, nine hundred eighty-four thousand, one hundred twenty-eight".