128616768 has 280 divisors, whose sum is σ = 455330560. Its totient is φ = 35562240.

The previous prime is 128616721. The next prime is 128616779. The reversal of 128616768 is 867616821.

It is a happy number.

128616768 is a `hidden beast` number, since 1 + 28 + 616 + 7 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 11.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4148913 + ... + 4148943.

Almost surely, 2^128616768 is an apocalyptic number.

128616768 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 128616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227665280).

128616768 is an abundant number, since it is smaller than the sum of its proper divisors (326713792).

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

128616768 is an frugal number, since it uses more digits than its factorization.

128616768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 43 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 128616768 is about 11340.9332949277. The cubic root of 128616768 is about 504.7765805811.

The spelling of 128616768 in words is "one hundred twenty-eight million, six hundred sixteen thousand, seven hundred sixty-eight".