38728 has 16 divisors (see below), whose sum is σ = 74880. Its totient is φ = 18768.

The previous prime is 38723. The next prime is 38729. The reversal of 38728 is 82783.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38696 and 38705.

It is not an unprimeable number, because it can be changed into a prime (38723) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 325 + ... + 427.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2³⁸⁷²⁸ is an apocalyptic number.

It is an amenable number.

38728 is a deficient number, since it is larger than the sum of its proper divisors (36152).

38728 is a wasteful number, since it uses less digits than its factorization.

38728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 38728 is about 196.7943088608. The cubic root of 38728 is about 33.8330920143.

It can be divided in two parts, 3872 and 8, that multiplied together give a square (30976 = 176²).

The spelling of 38728 in words is "thirty-eight thousand, seven hundred twenty-eight".