1288227264 has 56 divisors (see below), whose sum is σ = 3415466880. Its totient is φ = 428523264.

The previous prime is 1288227253. The next prime is 1288227271. The reversal of 1288227264 is 4627228821.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89907 + ... + 103245.

It is an arithmetic number, because the mean of its divisors is an integer number (60990480).

Almost surely, 2^1288227264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707733440).

1288227264 is an abundant number, since it is smaller than the sum of its proper divisors (2127239616).

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

1288227264 is a wasteful number, since it uses less digits than its factorization.

1288227264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13857 (or 13847 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 1288227264 is about 35891.8829820894. The cubic root of 1288227264 is about 1088.0883542723.

The spelling of 1288227264 in words is "one billion, two hundred eighty-eight million, two hundred twenty-seven thousand, two hundred sixty-four".