1268886528 has 528 divisors, whose sum is σ = 4828299840. Its totient is φ = 311427072.

The previous prime is 1268886523. The next prime is 1268886551. The reversal of 1268886528 is 8256888621.

It is a happy number.

It is a super-2 number, since 2×1268886528² = 3220146041879789568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1268886523) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14257108 + ... + 14257196.

Almost surely, 2^1268886528 is an apocalyptic number.

1268886528 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 1268886528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414149920).

1268886528 is an abundant number, since it is smaller than the sum of its proper divisors (3559413312).

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

1268886528 is a wasteful number, since it uses less digits than its factorization.

1268886528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 1268886528 is about 35621.4335477953. The cubic root of 1268886528 is about 1082.6155535200.

The spelling of 1268886528 in words is "one billion, two hundred sixty-eight million, eight hundred eighty-six thousand, five hundred twenty-eight".