128541688 has 96 divisors (see below), whose sum is σ = 289674000. Its totient is φ = 53222400.

The previous prime is 128541671. The next prime is 128541689. The reversal of 128541688 is 886145821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128541689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533248 + ... + 533488.

Almost surely, 2^128541688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128541688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144837000).

128541688 is an abundant number, since it is smaller than the sum of its proper divisors (161132312).

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

128541688 is a wasteful number, since it uses less digits than its factorization.

128541688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its digits is 122880, while the sum is 43.

The square root of 128541688 is about 11337.6226784983. The cubic root of 128541688 is about 504.6783404032.

The spelling of 128541688 in words is "one hundred twenty-eight million, five hundred forty-one thousand, six hundred eighty-eight".