1288352 has 48 divisors (see below), whose sum is σ = 2892960. Its totient is φ = 559872.

The previous prime is 1288349. The next prime is 1288361. The reversal of 1288352 is 2538821.

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, 7823 + ... + 7985.

It is an arithmetic number, because the mean of its divisors is an integer number (60270).

2^1288352 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 1288352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446480).

1288352 is an abundant number, since it is smaller than the sum of its proper divisors (1604608).

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

1288352 is a wasteful number, since it uses less digits than its factorization.

1288352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 1288352 is about 1135.0559457577. The cubic root of 1288352 is about 108.8123472146.

The spelling of 1288352 in words is "one million, two hundred eighty-eight thousand, three hundred fifty-two".