1268814528 has 168 divisors, whose sum is σ = 3854622720. Its totient is φ = 397923840.

The previous prime is 1268814493. The next prime is 1268814557. The reversal of 1268814528 is 8254188621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2090001 + ... + 2090607.

Almost surely, 2^1268814528 is an apocalyptic number.

1268814528 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 1268814528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927311360).

1268814528 is an abundant number, since it is smaller than the sum of its proper divisors (2585808192).

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

1268814528 is a wasteful number, since it uses less digits than its factorization.

1268814528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 822 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 1268814528 is about 35620.4229059679. The cubic root of 1268814528 is about 1082.5950763030.

The spelling of 1268814528 in words is "one billion, two hundred sixty-eight million, eight hundred fourteen thousand, five hundred twenty-eight".