38128 has 10 divisors (see below), whose sum is σ = 73904. Its totient is φ = 19056.

The previous prime is 38119. The next prime is 38149. The reversal of 38128 is 82183.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 38099 and 38108.

It is a congruent number.

It is an unprimeable number.

38128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1176 + ... + 1207.

2³⁸¹²⁸ is an apocalyptic number.

It is an amenable number.

38128 is a deficient number, since it is larger than the sum of its proper divisors (35776).

38128 is a wasteful number, since it uses less digits than its factorization.

38128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2385 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 38128 is about 195.2639239593. The cubic root of 38128 is about 33.6574602586.

The spelling of 38128 in words is "thirty-eight thousand, one hundred twenty-eight".