528736896 has 192 divisors, whose sum is σ = 1603929600. Its totient is φ = 173352960.

The previous prime is 528736867. The next prime is 528736909. The reversal of 528736896 is 698637825.

It is a happy number.

528736896 is a `hidden beast` number, since 528 + 7 + 36 + 89 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 2768161 + ... + 2768351.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^528736896 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 528736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

528736896 is an abundant number, since it is smaller than the sum of its proper divisors (1075192704).

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

528736896 is an equidigital number, since it uses as much as digits as its factorization.

528736896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 528736896 is about 22994.2796364661. The cubic root of 528736896 is about 808.6238361055.

The spelling of 528736896 in words is "five hundred twenty-eight million, seven hundred thirty-six thousand, eight hundred ninety-six".