128286288 has 160 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 38638080.

The previous prime is 128286287. The next prime is 128286317. The reversal of 128286288 is 882682821.

128286288 is a `hidden beast` number, since 12 + 8 + 2 + 8 + 628 + 8 = 666.

It is a super-3 number, since 3×128286288³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128286281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297433 + ... + 297863.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 2^128286288 is an apocalyptic number.

128286288 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 128286288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

128286288 is an abundant number, since it is smaller than the sum of its proper divisors (276687792).

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

128286288 is a wasteful number, since it uses less digits than its factorization.

128286288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 128286288 is about 11326.3536939299. The cubic root of 128286288 is about 504.3438696393.

The spelling of 128286288 in words is "one hundred twenty-eight million, two hundred eighty-six thousand, two hundred eighty-eight".