1428288 has 56 divisors (see below), whose sum is σ = 3889248. Its totient is φ = 462336.

The previous prime is 1428281. The next prime is 1428359. The reversal of 1428288 is 8828241.

1428288 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×1428288² = 4080013221888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8170 + ... + 8342.

2^1428288 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 1428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944624).

1428288 is an abundant number, since it is smaller than the sum of its proper divisors (2460960).

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

1428288 is a wasteful number, since it uses less digits than its factorization.

1428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 1428288 is about 1195.1100367749. The cubic root of 1428288 is about 112.6173392991.

The spelling of 1428288 in words is "one million, four hundred twenty-eight thousand, two hundred eighty-eight".