528282540 has 192 divisors, whose sum is σ = 1706987520. Its totient is φ = 135544320.

The previous prime is 528282533. The next prime is 528282541. The reversal of 528282540 is 45282825.

528282540 is a `hidden beast` number, since 528 + 2 + 82 + 54 + 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 = 528282495 and 528282504.

It is not an unprimeable number, because it can be changed into a prime (528282541) 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, 2368869 + ... + 2369091.

It is an arithmetic number, because the mean of its divisors is an integer number (8890560).

Almost surely, 2^528282540 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 528282540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853493760).

528282540 is an abundant number, since it is smaller than the sum of its proper divisors (1178704980).

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

528282540 is a wasteful number, since it uses less digits than its factorization.

528282540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

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

The square root of 528282540 is about 22984.3977515183. The cubic root of 528282540 is about 808.3921465928.

The spelling of 528282540 in words is "five hundred twenty-eight million, two hundred eighty-two thousand, five hundred forty".