528362404213248 has 560 divisors, whose sum is σ = 1782408169504512. Its totient is φ = 154944949248000.

The previous prime is 528362404213201. The next prime is 528362404213283. The reversal of 528362404213248 is 842312404263825.

528362404213248 is a `hidden beast` number, since 5 + 2 + 8 + 3 + 62 + 404 + 2 + 132 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 528362404213194 and 528362404213203.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 125201938 + ... + 129353198.

Almost surely, 2^{528362404213248} 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 528362404213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891204084752256).

528362404213248 is an abundant number, since it is smaller than the sum of its proper divisors (1254045765291264).

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

528362404213248 is an equidigital number, since it uses as much as digits as its factorization.

528362404213248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151339 (or 4151308 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 528362404213248 in words is "five hundred twenty-eight trillion, three hundred sixty-two billion, four hundred four million, two hundred thirteen thousand, two hundred forty-eight".