1028688 has 40 divisors (see below), whose sum is σ = 2752800. Its totient is φ = 330624.

The previous prime is 1028683. The next prime is 1028737. The reversal of 1028688 is 8868201.

1028688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028681) 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, 1023 + ... + 1761.

It is an arithmetic number, because the mean of its divisors is an integer number (68820).

2^1028688 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 1028688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376400).

1028688 is an abundant number, since it is smaller than the sum of its proper divisors (1724112).

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

1028688 is a wasteful number, since it uses less digits than its factorization.

1028688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1028688 is about 1014.2425745353. The cubic root of 1028688 is about 100.9472652196.

The spelling of 1028688 in words is "one million, twenty-eight thousand, six hundred eighty-eight".