128200 has 24 divisors (see below), whose sum is σ = 298530. Its totient is φ = 51200.

The previous prime is 128189. The next prime is 128201. The reversal of 128200 is 2821.

It can be written as a sum of positive squares in 3 ways, for example, as 116964 + 11236 = 342^2 + 106^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128201) by changing a digit.

128200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 121 + ... + 520.

2¹²⁸²⁰⁰ is an apocalyptic number.

128200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128200 is an abundant number, since it is smaller than the sum of its proper divisors (170330).

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

128200 is a wasteful number, since it uses less digits than its factorization.

128200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 128200 is about 358.0502757994. The cubic root of 128200 is about 50.4230766918.

It can be divided in two parts, 128 and 200, that multiplied together give a square (25600 = 160²).

The spelling of 128200 in words is "one hundred twenty-eight thousand, two hundred".