528271200 has 288 divisors, whose sum is σ = 1965186720. Its totient is φ = 136857600.

The previous prime is 528271189. The next prime is 528271213. The reversal of 528271200 is 2172825.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798870 + ... + 799530.

It is an arithmetic number, because the mean of its divisors is an integer number (6823565).

Almost surely, 2^528271200 is an apocalyptic number.

528271200 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 528271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982593360).

528271200 is an abundant number, since it is smaller than the sum of its proper divisors (1436915520).

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

528271200 is a wasteful number, since it uses less digits than its factorization.

528271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 528271200 is about 22984.1510611117. The cubic root of 528271200 is about 808.3863622938.

The spelling of 528271200 in words is "five hundred twenty-eight million, two hundred seventy-one thousand, two hundred".