528920800 has 72 divisors (see below), whose sum is σ = 1307728800. Its totient is φ = 208865280.

The previous prime is 528920797. The next prime is 528920801. The reversal of 528920800 is 8029825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528920801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59016 + ... + 67384.

It is an arithmetic number, because the mean of its divisors is an integer number (18162900).

Almost surely, 2^528920800 is an apocalyptic number.

528920800 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 528920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653864400).

528920800 is an abundant number, since it is smaller than the sum of its proper divisors (778808000).

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

528920800 is a wasteful number, since it uses less digits than its factorization.

528920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8468 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 528920800 is about 22998.2781964216. The cubic root of 528920800 is about 808.7175764397.

The spelling of 528920800 in words is "five hundred twenty-eight million, nine hundred twenty thousand, eight hundred".