528833088 has 252 divisors, whose sum is σ = 1810242252. Its totient is φ = 147087360.

The previous prime is 528833087. The next prime is 528833101. The reversal of 528833088 is 880338825.

It can be written as a sum of positive squares in 2 ways, for example, as 223562304 + 305270784 = 14952^2 + 17472^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (528833083) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1156956 + ... + 1157412.

It is an arithmetic number, because the mean of its divisors is an integer number (7183501).

Almost surely, 2^528833088 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 528833088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905121126).

528833088 is an abundant number, since it is smaller than the sum of its proper divisors (1281409164).

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

528833088 is a wasteful number, since it uses less digits than its factorization.

528833088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 528833088 is about 22996.3711919946. The cubic root of 528833088 is about 808.6728702144.

The spelling of 528833088 in words is "five hundred twenty-eight million, eight hundred thirty-three thousand, eighty-eight".