528450520320 has 864 divisors, whose sum is σ = 1977466982400. Its totient is φ = 129890304000.

The previous prime is 528450520303. The next prime is 528450520357. The reversal of 528450520320 is 23025054825.

It is a happy number.

528450520320 is a `hidden beast` number, since 5 + 2 + 84 + 50 + 520 + 3 + 2 + 0 = 666.

It is a super-3 number, since 3×528450520320³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1950001785 + ... + 1950002055.

Almost surely, 2^528450520320 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 528450520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988733491200).

528450520320 is an abundant number, since it is smaller than the sum of its proper divisors (1449016462080).

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

528450520320 is a wasteful number, since it uses less digits than its factorization.

528450520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 528450520320 in words is "five hundred twenty-eight billion, four hundred fifty million, five hundred twenty thousand, three hundred twenty".