1288928 has 24 divisors (see below), whose sum is σ = 2594592. Its totient is φ = 630016.

The previous prime is 1288921. The next prime is 1288933. The reversal of 1288928 is 8298821.

It is a super-2 number, since 2×1288928² = 3322670778368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1288891 and 1288900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1076 + ... + 1932.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

2^1288928 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 1288928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297296).

1288928 is an abundant number, since it is smaller than the sum of its proper divisors (1305664).

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

1288928 is an equidigital number, since it uses as much as digits as its factorization.

1288928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its digits is 18432, while the sum is 38.

The square root of 1288928 is about 1135.3096493909. The cubic root of 1288928 is about 108.8285608410.

The spelling of 1288928 in words is "one million, two hundred eighty-eight thousand, nine hundred twenty-eight".