528320000 has 200 divisors, whose sum is σ = 1431741696. Its totient is φ = 193536000.

The previous prime is 528319993. The next prime is 528320041. The reversal of 528320000 is 23825.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 4159937 + ... + 4160063.

Almost surely, 2^528320000 is an apocalyptic number.

528320000 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 528320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715870848).

528320000 is an abundant number, since it is smaller than the sum of its proper divisors (903421696).

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

528320000 is an equidigital number, since it uses as much as digits as its factorization.

528320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 528320000 is about 22985.2126376938. The cubic root of 528320000 is about 808.4112535743.

Adding to 528320000 its reverse (23825), we get a palindrome (528343825).

It can be divided in two parts, 52 and 8320000, that multiplied together give a square (432640000 = 20800²).

The spelling of 528320000 in words is "five hundred twenty-eight million, three hundred twenty thousand".