524928 has 32 divisors (see below), whose sum is σ = 1395360. Its totient is φ = 174848.

The previous prime is 524921. The next prime is 524933. The reversal of 524928 is 829425.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 5⁴ + 2 + 9 + 4 + 2¹⁸ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 524895 and 524904.

It is not an unprimeable number, because it can be changed into a prime (524921) by changing a digit.

524928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (43605).

524928 is a Friedman number, since it can be written as (8^2*5+4^9)*2, using all its digits and the basic arithmetic operations.

2⁵²⁴⁹²⁸ is an apocalyptic number.

It is an amenable number.

524928 is an abundant number, since it is smaller than the sum of its proper divisors (870432).

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

524928 is a wasteful number, since it uses less digits than its factorization.

524928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1372 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 524928 is about 724.5191508856. The cubic root of 524928 is about 80.6677442957.

The spelling of 524928 in words is "five hundred twenty-four thousand, nine hundred twenty-eight".