180528 has 20 divisors (see below), whose sum is σ = 466488. Its totient is φ = 60160.

The previous prime is 180511. The next prime is 180533. The reversal of 180528 is 825081.

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

It is a junction number, because it is equal to n+sod(n) for n = 180498 and 180507.

It is an unprimeable number.

180528 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 3 ways as a sum of consecutive naturals, for example, 1833 + ... + 1928.

2¹⁸⁰⁵²⁸ is an apocalyptic number.

It is an amenable number.

180528 is an abundant number, since it is smaller than the sum of its proper divisors (285960).

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

180528 is a wasteful number, since it uses less digits than its factorization.

180528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 180528 is about 424.8858670278. The cubic root of 180528 is about 56.5173152871.

The spelling of 180528 in words is "one hundred eighty thousand, five hundred twenty-eight".