128382200 has 48 divisors (see below), whose sum is σ = 302726160. Its totient is φ = 50624000.

The previous prime is 128382179. The next prime is 128382203. The reversal of 128382200 is 2283821.

It is a self number, because there is not a number n which added to its sum of digits gives 128382200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128382203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9680 + ... + 18720.

It is an arithmetic number, because the mean of its divisors is an integer number (6306795).

Almost surely, 2^128382200 is an apocalyptic number.

128382200 is a gapful number since it is divisible by the number (10) 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 128382200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151363080).

128382200 is an abundant number, since it is smaller than the sum of its proper divisors (174343960).

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

128382200 is a wasteful number, since it uses less digits than its factorization.

128382200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9128 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 128382200 is about 11330.5869221325. The cubic root of 128382200 is about 504.4695275977.

The spelling of 128382200 in words is "one hundred twenty-eight million, three hundred eighty-two thousand, two hundred".