528882500 has 60 divisors (see below), whose sum is σ = 1170047340. Its totient is φ = 209088000.

The previous prime is 528882491. The next prime is 528882517. The reversal of 528882500 is 5288825.

It can be written as a sum of positive squares in 10 ways, for example, as 487614724 + 41267776 = 22082^2 + 6424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 221312 + ... + 223688.

It is an arithmetic number, because the mean of its divisors is an integer number (19500789).

Almost surely, 2^528882500 is an apocalyptic number.

528882500 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 528882500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585023670).

528882500 is an abundant number, since it is smaller than the sum of its proper divisors (641164840).

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

528882500 is a wasteful number, since it uses less digits than its factorization.

528882500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 38.

The square root of 528882500 is about 22997.4455103170. The cubic root of 528882500 is about 808.6980557914.

528882500 divided by its reverse (5288825) gives a square (100 = 10²).

The spelling of 528882500 in words is "five hundred twenty-eight million, eight hundred eighty-two thousand, five hundred".