528352000 has 288 divisors, whose sum is σ = 1530547200. Its totient is φ = 179712000.

The previous prime is 528351937. The next prime is 528352001. The reversal of 528352000 is 253825.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528352001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6687961 + ... + 6688039.

It is an arithmetic number, because the mean of its divisors is an integer number (5314400).

Almost surely, 2^528352000 is an apocalyptic number.

528352000 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 528352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765273600).

528352000 is an abundant number, since it is smaller than the sum of its proper divisors (1002195200).

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

528352000 is a wasteful number, since it uses less digits than its factorization.

528352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 528352000 is about 22985.9087268700. The cubic root of 528352000 is about 808.4275748933.

The spelling of 528352000 in words is "five hundred twenty-eight million, three hundred fifty-two thousand".