128317608995328 has 1280 divisors, whose sum is σ = 417600882547200. Its totient is φ = 39232676560896.

The previous prime is 128317608995273. The next prime is 128317608995339. The reversal of 128317608995328 is 823599806713821.

128317608995328 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 1 + 7 + 6 + 0 + 89 + 9 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194715643063 + ... + 194715643721.

It is an arithmetic number, because the mean of its divisors is an integer number (326250689490).

Almost surely, 2^{128317608995328} is an apocalyptic number.

128317608995328 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 128317608995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208800441273600).

128317608995328 is an abundant number, since it is smaller than the sum of its proper divisors (289283273551872).

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

128317608995328 is an frugal number, since it uses more digits than its factorization.

128317608995328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 128317608995328 in words is "one hundred twenty-eight trillion, three hundred seventeen billion, six hundred eight million, nine hundred ninety-five thousand, three hundred twenty-eight".