39528 has 40 divisors (see below), whose sum is σ = 112530. Its totient is φ = 12960.

The previous prime is 39521. The next prime is 39541. The reversal of 39528 is 82593.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 324 = 198^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (39521) by changing a digit.

39528 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 in 9 ways as a sum of consecutive naturals, for example, 618 + ... + 678.

2³⁹⁵²⁸ 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 39528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56265).

39528 is an abundant number, since it is smaller than the sum of its proper divisors (73002).

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

39528 is a wasteful number, since it uses less digits than its factorization.

39528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 39528 is about 198.8164983094. The cubic root of 39528 is about 34.0644682251.

The spelling of 39528 in words is "thirty-nine thousand, five hundred twenty-eight".