528920000 has 140 divisors (see below), whose sum is σ = 1499707440. Its totient is φ = 181248000.

The previous prime is 528919957. The next prime is 528920003. The reversal of 528920000 is 29825.

It is a tau number, because it is divible by the number of its divisors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528920003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279056 + ... + 280944.

It is an arithmetic number, because the mean of its divisors is an integer number (10712196).

Almost surely, 2^528920000 is an apocalyptic number.

528920000 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 528920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749853720).

528920000 is an abundant number, since it is smaller than the sum of its proper divisors (970787440).

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

528920000 is an equidigital number, since it uses as much as digits as its factorization.

528920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 528920000 is about 22998.2608038086. The cubic root of 528920000 is about 808.7171687074.

Adding to 528920000 its reverse (29825), we get a palindrome (528949825).

The spelling of 528920000 in words is "five hundred twenty-eight million, nine hundred twenty thousand".