528755328 has 96 divisors (see below), whose sum is σ = 1527963060. Its totient is φ = 175509504.

The previous prime is 528755327. The next prime is 528755329. The reversal of 528755328 is 823557825.

528755328 is a `hidden beast` number, since 528 + 75 + 53 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (528755327) and next prime (528755329).

It can be written as a sum of positive squares in 2 ways, for example, as 490711104 + 38044224 = 22152^2 + 6168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (528755327) 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 11 ways as a sum of consecutive naturals, for example, 318276 + ... + 319932.

Almost surely, 2^528755328 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 528755328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763981530).

528755328 is an abundant number, since it is smaller than the sum of its proper divisors (999207732).

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

528755328 is a wasteful number, since it uses less digits than its factorization.

528755328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1939 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 528755328 is about 22994.6804283078. The cubic root of 528755328 is about 808.6332323235.

The spelling of 528755328 in words is "five hundred twenty-eight million, seven hundred fifty-five thousand, three hundred twenty-eight".