528672 has 24 divisors (see below), whose sum is σ = 1388016. Its totient is φ = 176192.

The previous prime is 528667. The next prime is 528673. The reversal of 528672 is 276825.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 5 + 2 + 6⁷ + 8 + 7⁶ + 2¹⁷ .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (528673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2658 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (57834).

2⁵²⁸⁶⁷² is an apocalyptic number.

It is an amenable number.

528672 is an abundant number, since it is smaller than the sum of its proper divisors (859344).

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

528672 is a wasteful number, since it uses less digits than its factorization.

528672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5512 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 528672 is about 727.0983427295. The cubic root of 528672 is about 80.8590751850.

The spelling of 528672 in words is "five hundred twenty-eight thousand, six hundred seventy-two".