128338 has 16 divisors (see below), whose sum is σ = 224640. Its totient is φ = 53856.

The previous prime is 128327. The next prime is 128339. The reversal of 128338 is 833821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1195 + ... + 1297.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2¹²⁸³³⁸ is an apocalyptic number.

128338 is a deficient number, since it is larger than the sum of its proper divisors (96302).

128338 is a wasteful number, since it uses less digits than its factorization.

128338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201.

The product of its digits is 1152, while the sum is 25.

The square root of 128338 is about 358.2429343337. The cubic root of 128338 is about 50.4411627275.

It can be divided in two parts, 128 and 338, that multiplied together give a square (43264 = 208²).

The spelling of 128338 in words is "one hundred twenty-eight thousand, three hundred thirty-eight".