528824128 has 112 divisors (see below), whose sum is σ = 1254296704. Its totient is φ = 216483840.

The previous prime is 528824123. The next prime is 528824129. The reversal of 528824128 is 821428825.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (81920) is a multiple of the sum of its prime factors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528824123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010875 + ... + 1011397.

Almost surely, 2^528824128 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 528824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627148352).

528824128 is an abundant number, since it is smaller than the sum of its proper divisors (725472576).

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

528824128 is a wasteful number, since it uses less digits than its factorization.

528824128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 630 counting only the distinct ones).

The product of its digits is 81920, while the sum is 40.

The square root of 528824128 is about 22996.1763778242. The cubic root of 528824128 is about 808.6683030834.

The spelling of 528824128 in words is "five hundred twenty-eight million, eight hundred twenty-four thousand, one hundred twenty-eight".