128017368 has 128 divisors (see below), whose sum is σ = 373248000. Its totient is φ = 40602240.

The previous prime is 128017363. The next prime is 128017391. The reversal of 128017368 is 863710821.

128017368 is a `hidden beast` number, since 1 + 280 + 17 + 368 = 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 (128017363) 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, 670153 + ... + 670343.

It is an arithmetic number, because the mean of its divisors is an integer number (2916000).

Almost surely, 2^128017368 is an apocalyptic number.

128017368 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 128017368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186624000).

128017368 is an abundant number, since it is smaller than the sum of its proper divisors (245230632).

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

128017368 is a wasteful number, since it uses less digits than its factorization.

128017368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 128017368 is about 11314.4760373603. The cubic root of 128017368 is about 503.9912129987.

The spelling of 128017368 in words is "one hundred twenty-eight million, seventeen thousand, three hundred sixty-eight".