528280560 has 360 divisors, whose sum is σ = 1978987920. Its totient is φ = 125908992.

The previous prime is 528280553. The next prime is 528280567. The reversal of 528280560 is 65082825.

528280560 is a `hidden beast` number, since 528 + 2 + 80 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (528280553) and next prime (528280567).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528280567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7236684 + ... + 7236756.

Almost surely, 2^528280560 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 528280560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989493960).

528280560 is an abundant number, since it is smaller than the sum of its proper divisors (1450707360).

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

528280560 is a wasteful number, since it uses less digits than its factorization.

528280560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

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

The square root of 528280560 is about 22984.3546787810. The cubic root of 528280560 is about 808.3911366418.

The spelling of 528280560 in words is "five hundred twenty-eight million, two hundred eighty thousand, five hundred sixty".