528260040 has 768 divisors, whose sum is σ = 2426112000. Its totient is φ = 96215040.

The previous prime is 528260039. The next prime is 528260069. The reversal of 528260040 is 40062825.

528260040 is a `hidden beast` number, since 52 + 8 + 2 + 600 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 528259986 and 528260013.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8953531 + ... + 8953589.

It is an arithmetic number, because the mean of its divisors is an integer number (3159000).

Almost surely, 2^528260040 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 528260040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213056000).

528260040 is an abundant number, since it is smaller than the sum of its proper divisors (1897851960).

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

528260040 is a wasteful number, since it uses less digits than its factorization.

528260040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 528260040 is about 22983.9082838407. The cubic root of 528260040 is about 808.3806697282.

The spelling of 528260040 in words is "five hundred twenty-eight million, two hundred sixty thousand, forty".