528285300 has 72 divisors (see below), whose sum is σ = 1536360000. Its totient is φ = 140152320.

The previous prime is 528285299. The next prime is 528285301. The reversal of 528285300 is 3582825.

528285300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (528285299) and next prime (528285301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528285301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55276 + ... + 64124.

Almost surely, 2^528285300 is an apocalyptic number.

528285300 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 528285300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768180000).

528285300 is an abundant number, since it is smaller than the sum of its proper divisors (1008074700).

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

528285300 is a wasteful number, since it uses less digits than its factorization.

528285300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 528285300 is about 22984.4577921690. The cubic root of 528285300 is about 808.3935543991.

The spelling of 528285300 in words is "five hundred twenty-eight million, two hundred eighty-five thousand, three hundred".