128354688 has 192 divisors, whose sum is σ = 460811520. Its totient is φ = 33315840.

The previous prime is 128354687. The next prime is 128354701. The reversal of 128354688 is 886453821.

128354688 is a `hidden beast` number, since 1 + 28 + 3 + 546 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×128354688³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128354687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 87981 + ... + 89427.

It is an arithmetic number, because the mean of its divisors is an integer number (2400060).

Almost surely, 2^128354688 is an apocalyptic number.

128354688 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 128354688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230405760).

128354688 is an abundant number, since it is smaller than the sum of its proper divisors (332456832).

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

128354688 is a wasteful number, since it uses less digits than its factorization.

128354688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1470 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 128354688 is about 11329.3727981738. The cubic root of 128354688 is about 504.4334894835.

The spelling of 128354688 in words is "one hundred twenty-eight million, three hundred fifty-four thousand, six hundred eighty-eight".