528397600 has 72 divisors (see below), whose sum is σ = 1357881840. Its totient is φ = 200229120.

The previous prime is 528397483. The next prime is 528397601. The reversal of 528397600 is 6793825.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (528397601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2182 + ... + 32581.

It is an arithmetic number, because the mean of its divisors is an integer number (18859470).

Almost surely, 2^528397600 is an apocalyptic number.

528397600 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 528397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678940920).

528397600 is an abundant number, since it is smaller than the sum of its proper divisors (829484240).

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

528397600 is a wasteful number, since it uses less digits than its factorization.

528397600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34802 (or 34789 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 528397600 is about 22986.9006175256. The cubic root of 528397600 is about 808.4508316344.

The spelling of 528397600 in words is "five hundred twenty-eight million, three hundred ninety-seven thousand, six hundred".