528868046235816 has 288 divisors, whose sum is σ = 1668558873945600. Its totient is φ = 150891689652480.

The previous prime is 528868046235799. The next prime is 528868046235889. The reversal of 528868046235816 is 618532640868825.

528868046235816 is a `hidden beast` number, since 5 + 2 + 8 + 8 + 6 + 80 + 462 + 3 + 5 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16703014401 + ... + 16703046063.

It is an arithmetic number, because the mean of its divisors is an integer number (5793607201200).

Almost surely, 2^{528868046235816} is an apocalyptic number.

528868046235816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528868046235816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834279436972800).

528868046235816 is an abundant number, since it is smaller than the sum of its proper divisors (1139690827709784).

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

528868046235816 is a wasteful number, since it uses less digits than its factorization.

528868046235816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38229 (or 38215 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 528868046235816 in words is "five hundred twenty-eight trillion, eight hundred sixty-eight billion, forty-six million, two hundred thirty-five thousand, eight hundred sixteen".