360528 has 80 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 96768.

The previous prime is 360511. The next prime is 360541. The reversal of 360528 is 825063.

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

360528 is a Rhonda number in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 360498 and 360507.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 9726 + ... + 9762.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2³⁶⁰⁵²⁸ 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 360528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565440).

360528 is an abundant number, since it is smaller than the sum of its proper divisors (770352).

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

360528 is a wasteful number, since it uses less digits than its factorization.

360528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 360528 is about 600.4398387849. The cubic root of 360528 is about 71.1726276131.

It can be divided in two parts, 360 and 528, that added together give a palindrome (888).

The spelling of 360528 in words is "three hundred sixty thousand, five hundred twenty-eight".