40528 has 20 divisors (see below), whose sum is σ = 83700. Its totient is φ = 18944.

The previous prime is 40519. The next prime is 40529. The reversal of 40528 is 82504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 23104 = 132^2 + 152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40529) by changing a digit.

40528 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 3 ways as a sum of consecutive naturals, for example, 198 + ... + 346.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

2⁴⁰⁵²⁸ 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 40528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41850).

40528 is an abundant number, since it is smaller than the sum of its proper divisors (43172).

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

40528 is a wasteful number, since it uses less digits than its factorization.

40528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 40528 is about 201.3156725146. The cubic root of 40528 is about 34.3493395273.

The spelling of 40528 in words is "forty thousand, five hundred twenty-eight".