528884640 has 288 divisors, whose sum is σ = 1910877696. Its totient is φ = 138101760.

The previous prime is 528884599. The next prime is 528884647. The reversal of 528884640 is 46488825.

528884640 is a `hidden beast` number, since 528 + 8 + 84 + 6 + 40 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (528884647) 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 47 ways as a sum of consecutive naturals, for example, 2371569 + ... + 2371791.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2^528884640 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 528884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955438848).

528884640 is an abundant number, since it is smaller than the sum of its proper divisors (1381993056).

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

528884640 is a wasteful number, since it uses less digits than its factorization.

528884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 528884640 is about 22997.4920371766. The cubic root of 528884640 is about 808.6991465261.

The spelling of 528884640 in words is "five hundred twenty-eight million, eight hundred eighty-four thousand, six hundred forty".