528216000 has 224 divisors, whose sum is σ = 1879445568. Its totient is φ = 129945600.

The previous prime is 528215971. The next prime is 528216001. The reversal of 528216000 is 612825.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528216001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311154 + ... + 312846.

It is an arithmetic number, because the mean of its divisors is an integer number (8390382).

Almost surely, 2^528216000 is an apocalyptic number.

528216000 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 528216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939722784).

528216000 is an abundant number, since it is smaller than the sum of its proper divisors (1351229568).

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

528216000 is a wasteful number, since it uses less digits than its factorization.

528216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 528216000 is about 22982.9502022695. The cubic root of 528216000 is about 808.3582047354.

Adding to 528216000 its reverse (612825), we get a palindrome (528828825).

The spelling of 528216000 in words is "five hundred twenty-eight million, two hundred sixteen thousand".