38628 has 36 divisors (see below), whose sum is σ = 103740. Its totient is φ = 12096.

The previous prime is 38611. The next prime is 38629. The reversal of 38628 is 82683.

38628 is a `hidden beast` number, since 38 + 628 = 666.

38628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 10404 = 168^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1026 + ... + 1062.

2³⁸⁶²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51870).

38628 is an abundant number, since it is smaller than the sum of its proper divisors (65112).

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

38628 is a wasteful number, since it uses less digits than its factorization.

38628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 71 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 38628 is about 196.5400722499. The cubic root of 38628 is about 33.8039466465.

It can be divided in two parts, 386 and 28, that added together give a palindrome (414).

The spelling of 38628 in words is "thirty-eight thousand, six hundred twenty-eight".