1282884144 has 80 divisors (see below), whose sum is σ = 3348535680. Its totient is φ = 423216640.

The previous prime is 1282884131. The next prime is 1282884149. The reversal of 1282884144 is 4414882821.

It is a super-2 number, since 2×1282884144² = 3291583453853225472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1282884096 and 1282884105.

It is not an unprimeable number, because it can be changed into a prime (1282884149) by changing a digit.

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, 3061567 + ... + 3061985.

It is an arithmetic number, because the mean of its divisors is an integer number (41856696).

Almost surely, 2^1282884144 is an apocalyptic number.

It is an amenable number.

1282884144 is an abundant number, since it is smaller than the sum of its proper divisors (2065651536).

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

1282884144 is a wasteful number, since it uses less digits than its factorization.

1282884144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its digits is 131072, while the sum is 42.

The square root of 1282884144 is about 35817.3720979080. The cubic root of 1282884144 is about 1086.5819319093.

The spelling of 1282884144 in words is "one billion, two hundred eighty-two million, eight hundred eighty-four thousand, one hundred forty-four".