128360232 has 288 divisors, whose sum is σ = 472754880. Its totient is φ = 30551040.

The previous prime is 128360201. The next prime is 128360233. The reversal of 128360232 is 232063821.

128360232 is a `hidden beast` number, since 1 + 28 + 3 + 602 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 128360196 and 128360205.

It is not an unprimeable number, because it can be changed into a prime (128360233) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 936868 + ... + 937004.

It is an arithmetic number, because the mean of its divisors is an integer number (1641510).

Almost surely, 2^128360232 is an apocalyptic number.

128360232 is a gapful number since it is divisible by the number (12) 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 128360232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236377440).

128360232 is an abundant number, since it is smaller than the sum of its proper divisors (344394648).

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

128360232 is a wasteful number, since it uses less digits than its factorization.

128360232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 128360232 is about 11329.6174692705. The cubic root of 128360232 is about 504.4407520126.

The spelling of 128360232 in words is "one hundred twenty-eight million, three hundred sixty thousand, two hundred thirty-two".