528802560 has 576 divisors, whose sum is σ = 2225180160. Its totient is φ = 117227520.

The previous prime is 528802553. The next prime is 528802577. The reversal of 528802560 is 65208825.

528802560 is a `hidden beast` number, since 528 + 80 + 2 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4942027 + ... + 4942133.

It is an arithmetic number, because the mean of its divisors is an integer number (3863160).

Almost surely, 2^528802560 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 528802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112590080).

528802560 is an abundant number, since it is smaller than the sum of its proper divisors (1696377600).

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

528802560 is a wasteful number, since it uses less digits than its factorization.

528802560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 528802560 is about 22995.7074255175. The cubic root of 528802560 is about 808.6573091353.

The spelling of 528802560 in words is "five hundred twenty-eight million, eight hundred two thousand, five hundred sixty".