528768 has 96 divisors (see below), whose sum is σ = 1670760. Its totient is φ = 165888.

The previous prime is 528763. The next prime is 528779. The reversal of 528768 is 867825.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5⁸ + 2¹⁴ + 7⁶ + 8 + 6 + 8⁴ .

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31096 + ... + 31112.

528768 is a Friedman number, since it can be written as 68*(7*2-8)^5, using all its digits and the basic arithmetic operations.

2⁵²⁸⁷⁶⁸ 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 528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835380).

528768 is an abundant number, since it is smaller than the sum of its proper divisors (1141992).

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

528768 is an equidigital number, since it uses as much as digits as its factorization.

528768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 22 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 528768 is about 727.1643555621. The cubic root of 528768 is about 80.8639692097.

It can be divided in two parts, 528 and 768, that multiplied together give a palindrome (405504).

The spelling of 528768 in words is "five hundred twenty-eight thousand, seven hundred sixty-eight".