528722082240 has 448 divisors, whose sum is σ = 1907237670912. Its totient is φ = 122934067200.

The previous prime is 528722082233. The next prime is 528722082241. The reversal of 528722082240 is 42280227825.

It is a junction number, because it is equal to n+sod(n) for n = 528722082192 and 528722082201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528722082241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36984534 + ... + 36998826.

It is an arithmetic number, because the mean of its divisors is an integer number (4257226944).

Almost surely, 2^528722082240 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 528722082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953618835456).

528722082240 is an abundant number, since it is smaller than the sum of its proper divisors (1378515588672).

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

528722082240 is a wasteful number, since it uses less digits than its factorization.

528722082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14468 (or 14458 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 528722082240 in words is "five hundred twenty-eight billion, seven hundred twenty-two million, eighty-two thousand, two hundred forty".