523328 has 56 divisors (see below), whose sum is σ = 1216152. Its totient is φ = 221184.

The previous prime is 523307. The next prime is 523333. The reversal of 523328 is 823325.

523328 = T₁₁₇ + T₁₁₈ + ... + T₁₆₇.

It can be written as a sum of positive squares in 4 ways, for example, as 153664 + 369664 = 392^2 + 608^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 523328.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14126 + ... + 14162.

It is an arithmetic number, because the mean of its divisors is an integer number (21717).

2⁵²³³²⁸ 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 523328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608076).

523328 is an abundant number, since it is smaller than the sum of its proper divisors (692824).

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

523328 is a wasteful number, since it uses less digits than its factorization.

523328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 523328 is about 723.4141275922. The cubic root of 523328 is about 80.5857014578.

It can be divided in two parts, 52 and 3328, that multiplied together give a square (173056 = 416²).

The spelling of 523328 in words is "five hundred twenty-three thousand, three hundred twenty-eight".