528564480 has 144 divisors (see below), whose sum is σ = 1717450560. Its totient is φ = 138502144.

The previous prime is 528564479. The next prime is 528564481. The reversal of 528564480 is 84465825.

It is an interprime number because it is at equal distance from previous prime (528564479) and next prime (528564481).

It is not an unprimeable number, because it can be changed into a prime (528564481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225394 + ... + 227726.

It is an arithmetic number, because the mean of its divisors is an integer number (11926740).

Almost surely, 2^528564480 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 528564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858725280).

528564480 is an abundant number, since it is smaller than the sum of its proper divisors (1188886080).

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

528564480 is a wasteful number, since it uses less digits than its factorization.

528564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 528564480 is about 22990.5302244207. The cubic root of 528564480 is about 808.5359317397.

The spelling of 528564480 in words is "five hundred twenty-eight million, five hundred sixty-four thousand, four hundred eighty".