528128000 has 96 divisors (see below), whose sum is σ = 1318524480. Its totient is φ = 211148800.

The previous prime is 528127993. The next prime is 528128053. The reversal of 528128000 is 821825.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 254969 + ... + 257031.

It is an arithmetic number, because the mean of its divisors is an integer number (13734630).

Almost surely, 2^528128000 is an apocalyptic number.

528128000 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 528128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659262240).

528128000 is an abundant number, since it is smaller than the sum of its proper divisors (790396480).

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

528128000 is an equidigital number, since it uses as much as digits as its factorization.

528128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 528128000 is about 22981.0356598653. The cubic root of 528128000 is about 808.3133118174.

Adding to 528128000 its reverse (821825), we get a palindrome (528949825).

The spelling of 528128000 in words is "five hundred twenty-eight million, one hundred twenty-eight thousand".