1288448 has 36 divisors (see below), whose sum is σ = 2943360. Its totient is φ = 551424.

The previous prime is 1288439. The next prime is 1288487. The reversal of 1288448 is 8448821.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1433 + ... + 2151.

It is an arithmetic number, because the mean of its divisors is an integer number (81760).

2^1288448 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 1288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471680).

1288448 is an abundant number, since it is smaller than the sum of its proper divisors (1654912).

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

1288448 is an frugal number, since it uses more digits than its factorization.

1288448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 728 counting only the distinct ones).

The product of its digits is 16384, while the sum is 35.

The square root of 1288448 is about 1135.0982336344. The cubic root of 1288448 is about 108.8150498212.

The spelling of 1288448 in words is "one million, two hundred eighty-eight thousand, four hundred forty-eight".