528076800 has 312 divisors, whose sum is σ = 1950113280. Its totient is φ = 140083200.

The previous prime is 528076751. The next prime is 528076807. The reversal of 528076800 is 8670825.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528076807) 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 23 ways as a sum of consecutive naturals, for example, 2764705 + ... + 2764895.

Almost surely, 2^528076800 is an apocalyptic number.

528076800 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 528076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975056640).

528076800 is an abundant number, since it is smaller than the sum of its proper divisors (1422036480).

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

528076800 is a wasteful number, since it uses less digits than its factorization.

528076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 528076800 is about 22979.9216708848. The cubic root of 528076800 is about 808.2871900066.

The spelling of 528076800 in words is "five hundred twenty-eight million, seventy-six thousand, eight hundred".