1028256768 has 660 divisors, whose sum is σ = 4066029792. Its totient is φ = 255467520.

The previous prime is 1028256737. The next prime is 1028256769. The reversal of 1028256768 is 8676528201.

1028256768 is a `hidden beast` number, since 1 + 0 + 2 + 82 + 567 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028256769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44706805 + ... + 44706827.

Almost surely, 2^1028256768 is an apocalyptic number.

1028256768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033014896).

1028256768 is an abundant number, since it is smaller than the sum of its proper divisors (3037773024).

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

1028256768 is a wasteful number, since it uses less digits than its factorization.

1028256768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1028256768 is about 32066.4430207031. The cubic root of 1028256768 is about 1009.3315735428.

The spelling of 1028256768 in words is "one billion, twenty-eight million, two hundred fifty-six thousand, seven hundred sixty-eight".