1288128 has 28 divisors (see below), whose sum is σ = 3408680. Its totient is φ = 429312.

The previous prime is 1288117. The next prime is 1288163. The reversal of 1288128 is 8218821.

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

It is a junction number, because it is equal to n+sod(n) for n = 1288095 and 1288104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3163 + ... + 3546.

2^1288128 is an apocalyptic number.

It is an amenable number.

1288128 is an abundant number, since it is smaller than the sum of its proper divisors (2120552).

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

1288128 is an equidigital number, since it uses as much as digits as its factorization.

1288128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6724 (or 6714 counting only the distinct ones).

The product of its digits is 2048, while the sum is 30.

The square root of 1288128 is about 1134.9572679180. The cubic root of 1288128 is about 108.8060406104.

It can be divided in two parts, 128 and 8128, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 1288128 in words is "one million, two hundred eighty-eight thousand, one hundred twenty-eight".