128647008 has 192 divisors, whose sum is σ = 435456000. Its totient is φ = 36191232.

The previous prime is 128646977. The next prime is 128647009. The reversal of 128647008 is 800746821.

128647008 is a `hidden beast` number, since 1 + 2 + 8 + 647 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128647009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538153 + ... + 538391.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^128647008 is an apocalyptic number.

128647008 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 128647008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

128647008 is an abundant number, since it is smaller than the sum of its proper divisors (306808992).

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

128647008 is a wasteful number, since it uses less digits than its factorization.

128647008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 128647008 is about 11342.2664401785. The cubic root of 128647008 is about 504.8161380143.

The spelling of 128647008 in words is "one hundred twenty-eight million, six hundred forty-seven thousand, eight".