128314368 has 440 divisors, whose sum is σ = 499336992. Its totient is φ = 31850496.

The previous prime is 128314331. The next prime is 128314393. The reversal of 128314368 is 863413821.

128314368 is a `hidden beast` number, since 1 + 283 + 14 + 368 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7547896 + ... + 7547912.

Almost surely, 2^128314368 is an apocalyptic number.

128314368 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 128314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249668496).

128314368 is an abundant number, since it is smaller than the sum of its proper divisors (371022624).

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

128314368 is a wasteful number, since it uses less digits than its factorization.

128314368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 128314368 is about 11327.5932130352. The cubic root of 128314368 is about 504.3806647973.

It can be divided in two parts, 1283 and 14368, that added together give a palindrome (15651).

The spelling of 128314368 in words is "one hundred twenty-eight million, three hundred fourteen thousand, three hundred sixty-eight".