45528 has 32 divisors (see below), whose sum is σ = 130560. Its totient is φ = 12960.

The previous prime is 45523. The next prime is 45533. The reversal of 45528 is 82554.

45528 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45523) and next prime (45533).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 45498 and 45507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45523) by changing a digit.

45528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (4080).

2⁴⁵⁵²⁸ 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 45528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65280).

45528 is an abundant number, since it is smaller than the sum of its proper divisors (85032).

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

45528 is a wasteful number, since it uses less digits than its factorization.

45528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 45528 is about 213.3729129951. The cubic root of 45528 is about 35.7075065228.

It can be divided in two parts, 4552 and 8, that added together give a triangular number (4560 = T₉₅).

The spelling of 45528 in words is "forty-five thousand, five hundred twenty-eight".