528665472 has 192 divisors, whose sum is σ = 1592260800. Its totient is φ = 168210432.

The previous prime is 528665471. The next prime is 528665477. The reversal of 528665472 is 274566825.

528665472 is a `hidden beast` number, since 528 + 6 + 6 + 54 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528665471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3367218 + ... + 3367374.

It is an arithmetic number, because the mean of its divisors is an integer number (8293025).

Almost surely, 2^528665472 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 528665472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796130400).

528665472 is an abundant number, since it is smaller than the sum of its proper divisors (1063595328).

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

528665472 is a wasteful number, since it uses less digits than its factorization.

528665472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 278 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 528665472 is about 22992.7265020919. The cubic root of 528665472 is about 808.5874236982.

The spelling of 528665472 in words is "five hundred twenty-eight million, six hundred sixty-five thousand, four hundred seventy-two".