528810240 has 288 divisors, whose sum is σ = 1959100416. Its totient is φ = 119070720.

The previous prime is 528810239. The next prime is 528810241. The reversal of 528810240 is 42018825.

It is an interprime number because it is at equal distance from previous prime (528810239) and next prime (528810241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 528810198 and 528810207.

It is not an unprimeable number, because it can be changed into a prime (528810241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2768545 + ... + 2768735.

It is an arithmetic number, because the mean of its divisors is an integer number (6802432).

Almost surely, 2^528810240 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 528810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979550208).

528810240 is an abundant number, since it is smaller than the sum of its proper divisors (1430290176).

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

528810240 is a wasteful number, since it uses less digits than its factorization.

528810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 528810240 is about 22995.8744125984. The cubic root of 528810240 is about 808.6612239286.

The spelling of 528810240 in words is "five hundred twenty-eight million, eight hundred ten thousand, two hundred forty".