1288822752 has 240 divisors, whose sum is σ = 4364502912. Its totient is φ = 365472000.

The previous prime is 1288822747. The next prime is 1288822757. The reversal of 1288822752 is 2572288821.

It is an interprime number because it is at equal distance from previous prime (1288822747) and next prime (1288822757).

It is a super-2 number, since 2×1288822752² = 3322128172145707008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1288822698 and 1288822707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288822757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4554003 + ... + 4554285.

Almost surely, 2^1288822752 is an apocalyptic number.

1288822752 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 1288822752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182251456).

1288822752 is an abundant number, since it is smaller than the sum of its proper divisors (3075680160).

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

1288822752 is a wasteful number, since it uses less digits than its factorization.

1288822752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 1288822752 is about 35900.1776040175. The cubic root of 1288822752 is about 1088.2559861189.

The spelling of 1288822752 in words is "one billion, two hundred eighty-eight million, eight hundred twenty-two thousand, seven hundred fifty-two".