128217768 has 32 divisors (see below), whose sum is σ = 366336960. Its totient is φ = 36633600.

The previous prime is 128217763. The next prime is 128217773. The reversal of 128217768 is 867712821.

It is an interprime number because it is at equal distance from previous prime (128217763) and next prime (128217773).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (128217763) 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 7 ways as a sum of consecutive naturals, for example, 381433 + ... + 381768.

It is an arithmetic number, because the mean of its divisors is an integer number (11448030).

Almost surely, 2^128217768 is an apocalyptic number.

It is an amenable number.

128217768 is an abundant number, since it is smaller than the sum of its proper divisors (238119192).

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

128217768 is a wasteful number, since it uses less digits than its factorization.

128217768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763217 (or 763213 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 128217768 is about 11323.3284859179. The cubic root of 128217768 is about 504.2540606220.

The spelling of 128217768 in words is "one hundred twenty-eight million, two hundred seventeen thousand, seven hundred sixty-eight".