1288822304 has 108 divisors (see below), whose sum is σ = 3244834782. Its totient is φ = 502064640.

The previous prime is 1288822279. The next prime is 1288822349. The reversal of 1288822304 is 4032288821.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1254576400 + 34245904 = 35420^2 + 5852^2 .

It is a super-2 number, since 2×1288822304² = 3322125862575736832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 186332 + ... + 193124.

Almost surely, 2^1288822304 is an apocalyptic number.

1288822304 is a gapful number since it is divisible by the number (14) 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 1288822304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622417391).

1288822304 is an abundant number, since it is smaller than the sum of its proper divisors (1956012478).

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

1288822304 is a wasteful number, since it uses less digits than its factorization.

1288822304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6839 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 1288822304 is about 35900.1713644935. The cubic root of 1288822304 is about 1088.2558600248.

The spelling of 1288822304 in words is "one billion, two hundred eighty-eight million, eight hundred twenty-two thousand, three hundred four".