528531328 has 128 divisors (see below), whose sum is σ = 1189923840. Its totient is φ = 232243200.

The previous prime is 528531281. The next prime is 528531337. The reversal of 528531328 is 823135825.

528531328 is a nontrivial binomial coefficient, being equal to C(32513, 2).

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (57600) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4161601 + ... + 4161727.

It is an arithmetic number, because the mean of its divisors is an integer number (9296280).

Almost surely, 2^528531328 is an apocalyptic number.

528531328 is the 32512-nd triangular number.

528531328 is the 10838-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594961920).

528531328 is an abundant number, since it is smaller than the sum of its proper divisors (661392512).

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

528531328 is a wasteful number, since it uses less digits than its factorization.

528531328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 528531328 is about 22989.8092206090. The cubic root of 528531328 is about 808.5190273728.

The spelling of 528531328 in words is "five hundred twenty-eight million, five hundred thirty-one thousand, three hundred twenty-eight".