528885000 has 480 divisors, whose sum is σ = 2163807360. Its totient is φ = 114048000.

The previous prime is 528884989. The next prime is 528885037. The reversal of 528885000 is 588825.

528885000 is a `hidden beast` number, since 528 + 88 + 50 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7244964 + ... + 7245036.

It is an arithmetic number, because the mean of its divisors is an integer number (4507932).

Almost surely, 2^528885000 is an apocalyptic number.

528885000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528885000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081903680).

528885000 is an abundant number, since it is smaller than the sum of its proper divisors (1634922360).

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

528885000 is a wasteful number, since it uses less digits than its factorization.

528885000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 528885000 is about 22997.4998641157. The cubic root of 528885000 is about 808.6993300139.

The spelling of 528885000 in words is "five hundred twenty-eight million, eight hundred eighty-five thousand".