528225840 has 320 divisors, whose sum is σ = 1955827200. Its totient is φ = 130636800.

The previous prime is 528225839. The next prime is 528225847. The reversal of 528225840 is 48522825.

528225840 is a `hidden beast` number, since 52 + 8 + 22 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 528225795 and 528225804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528225847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2503335 + ... + 2503545.

It is an arithmetic number, because the mean of its divisors is an integer number (6111960).

Almost surely, 2^528225840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977913600).

528225840 is an abundant number, since it is smaller than the sum of its proper divisors (1427601360).

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

528225840 is a wasteful number, since it uses less digits than its factorization.

528225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 528225840 is about 22983.1642730064. The cubic root of 528225840 is about 808.3632242699.

The spelling of 528225840 in words is "five hundred twenty-eight million, two hundred twenty-five thousand, eight hundred forty".