528448500 has 144 divisors (see below), whose sum is σ = 1706472768. Its totient is φ = 137592000.

The previous prime is 528448499. The next prime is 528448513. The reversal of 528448500 is 5844825.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192135 + ... + 194865.

Almost surely, 2^528448500 is an apocalyptic number.

528448500 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 528448500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853236384).

528448500 is an abundant number, since it is smaller than the sum of its proper divisors (1178024268).

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

528448500 is a wasteful number, since it uses less digits than its factorization.

528448500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 528448500 is about 22988.0077431690. The cubic root of 528448500 is about 808.4767898813.

The spelling of 528448500 in words is "five hundred twenty-eight million, four hundred forty-eight thousand, five hundred".