528526080 has 288 divisors, whose sum is σ = 1926429120. Its totient is φ = 137134080.

The previous prime is 528526079. The next prime is 528526081. The reversal of 528526080 is 80625825.

528526080 is a `hidden beast` number, since 52 + 8 + 526 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (528526079) and next prime (528526081).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (528526081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416774 + ... + 1417146.

It is an arithmetic number, because the mean of its divisors is an integer number (6688990).

Almost surely, 2^528526080 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 528526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963214560).

528526080 is an abundant number, since it is smaller than the sum of its proper divisors (1397903040).

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

528526080 is a wasteful number, since it uses less digits than its factorization.

528526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

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

The square root of 528526080 is about 22989.6950827974. The cubic root of 528526080 is about 808.5163513272.

The spelling of 528526080 in words is "five hundred twenty-eight million, five hundred twenty-six thousand, eighty".