528240000 has 320 divisors, whose sum is σ = 1835412480. Its totient is φ = 134400000.

The previous prime is 528239983. The next prime is 528240007. The reversal of 528240000 is 42825.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528240007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7439965 + ... + 7440035.

It is an arithmetic number, because the mean of its divisors is an integer number (5735664).

Almost surely, 2^528240000 is an apocalyptic number.

528240000 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 528240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917706240).

528240000 is an abundant number, since it is smaller than the sum of its proper divisors (1307172480).

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

528240000 is an equidigital number, since it uses as much as digits as its factorization.

528240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 528240000 is about 22983.4723225191. The cubic root of 528240000 is about 808.3704473931.

Adding to 528240000 its reverse (42825), we get a palindrome (528282825).

The spelling of 528240000 in words is "five hundred twenty-eight million, two hundred forty thousand".