528192 has 84 divisors (see below), whose sum is σ = 1743456. Its totient is φ = 149760.

The previous prime is 528191. The next prime is 528197. The reversal of 528192 is 291825.

It is a tau number, because it is divible by the number of its divisors (84).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528191) 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, 3967 + ... + 4097.

2⁵²⁸¹⁹² 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 528192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871728).

528192 is an abundant number, since it is smaller than the sum of its proper divisors (1215264).

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

528192 is a wasteful number, since it uses less digits than its factorization.

528192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 528192 is about 726.7681886269. The cubic root of 528192 is about 80.8345961707.

The spelling of 528192 in words is "five hundred twenty-eight thousand, one hundred ninety-two".