528011786248128 has 896 divisors, whose sum is σ = 1943516381184000. Its totient is φ = 136867590107136.

The previous prime is 528011786248087. The next prime is 528011786248147. The reversal of 528011786248128 is 821842687110825.

It is a happy number.

528011786248128 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 1 + 1 + 78 + 62 + 481 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2136719523 + ... + 2136966621.

It is an arithmetic number, because the mean of its divisors is an integer number (2169103104000).

Almost surely, 2^{528011786248128} 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 528011786248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971758190592000).

528011786248128 is an abundant number, since it is smaller than the sum of its proper divisors (1415504594935872).

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

528011786248128 is a wasteful number, since it uses less digits than its factorization.

528011786248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247374 (or 247358 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 63.

The spelling of 528011786248128 in words is "five hundred twenty-eight trillion, eleven billion, seven hundred eighty-six million, two hundred forty-eight thousand, one hundred twenty-eight".