1282288032 has 72 divisors (see below), whose sum is σ = 3657126564. Its totient is φ = 426184704.

The previous prime is 1282288031. The next prime is 1282288037. The reversal of 1282288032 is 2308822821.

It can be written as a sum of positive squares in 2 ways, for example, as 1272776976 + 9511056 = 35676^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1282288031) 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 11 ways as a sum of consecutive naturals, for example, 95358 + ... + 107970.

Almost surely, 2^1282288032 is an apocalyptic number.

1282288032 is a gapful number since it is divisible by the number (12) 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 1282288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828563282).

1282288032 is an abundant number, since it is smaller than the sum of its proper divisors (2374838532).

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

1282288032 is a wasteful number, since it uses less digits than its factorization.

1282288032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12982 (or 12971 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1282288032 is about 35809.0495824729. The cubic root of 1282288032 is about 1086.4136067901.

The spelling of 1282288032 in words is "one billion, two hundred eighty-two million, two hundred eighty-eight thousand, thirty-two".