1028768 has 24 divisors (see below), whose sum is σ = 2182068. Its totient is φ = 474624.

The previous prime is 1028761. The next prime is 1028773. The reversal of 1028768 is 8678201.

1028768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1024144 + 4624 = 1012^2 + 68^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1028761) 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, 821 + ... + 1652.

2^1028768 is an apocalyptic number.

It is an amenable number.

1028768 is an abundant number, since it is smaller than the sum of its proper divisors (1153300).

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

1028768 is a wasteful number, since it uses less digits than its factorization.

1028768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1028768 is about 1014.2820120657. The cubic root of 1028768 is about 100.9498820066.

The spelling of 1028768 in words is "one million, twenty-eight thousand, seven hundred sixty-eight".