38528 has 32 divisors (see below), whose sum is σ = 89760. Its totient is φ = 16128.

The previous prime is 38501. The next prime is 38543. The reversal of 38528 is 82583.

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (1920) is a multiple of the sum of its prime factors (64).

It is a junction number, because it is equal to n+sod(n) for n = 38497 and 38506.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38528.

It is an unprimeable number.

38528 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 875 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (2805).

2³⁸⁵²⁸ 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 38528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44880).

38528 is an abundant number, since it is smaller than the sum of its proper divisors (51232).

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

38528 is an equidigital number, since it uses as much as digits as its factorization.

38528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 52 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 38528 is about 196.2855063422. The cubic root of 38528 is about 33.7747509343.

The spelling of 38528 in words is "thirty-eight thousand, five hundred twenty-eight".