528643053648 has 240 divisors, whose sum is σ = 1523658273280. Its totient is φ = 171040896000.

The previous prime is 528643053637. The next prime is 528643053683. The reversal of 528643053648 is 846350346825.

528643053648 is a `hidden beast` number, since 5 + 2 + 8 + 64 + 3 + 0 + 536 + 48 = 666.

It is a super-2 number, since 2×528643053648² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 528643053594 and 528643053603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270959073 + ... + 270961023.

Almost surely, 2^528643053648 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 528643053648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761829136640).

528643053648 is an abundant number, since it is smaller than the sum of its proper divisors (995015219632).

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

528643053648 is a wasteful number, since it uses less digits than its factorization.

528643053648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 528643053648 in words is "five hundred twenty-eight billion, six hundred forty-three million, fifty-three thousand, six hundred forty-eight".