528480288 has 432 divisors, whose sum is σ = 1934543520. Its totient is φ = 141087744.

The previous prime is 528480259. The next prime is 528480299. The reversal of 528480288 is 882084825.

528480288 is a `hidden beast` number, since 528 + 48 + 0 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7239420 + ... + 7239492.

It is an arithmetic number, because the mean of its divisors is an integer number (4478110).

Almost surely, 2^528480288 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 528480288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967271760).

528480288 is an abundant number, since it is smaller than the sum of its proper divisors (1406063232).

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

528480288 is a wasteful number, since it uses less digits than its factorization.

528480288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 528480288 is about 22988.6991367498. The cubic root of 528480288 is about 808.4930004454.

The spelling of 528480288 in words is "five hundred twenty-eight million, four hundred eighty thousand, two hundred eighty-eight".