528046827840 has 1120 divisors, whose sum is σ = 2230550784000. Its totient is φ = 116035338240.

The previous prime is 528046827827. The next prime is 528046827863. The reversal of 528046827840 is 48728640825.

528046827840 is a `hidden beast` number, since 5 + 2 + 80 + 468 + 27 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 1513027986 + ... + 1513028334.

It is an arithmetic number, because the mean of its divisors is an integer number (1991563200).

Almost surely, 2^528046827840 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 528046827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115275392000).

528046827840 is an abundant number, since it is smaller than the sum of its proper divisors (1702503956160).

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

528046827840 is a wasteful number, since it uses less digits than its factorization.

528046827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 528046827840 in words is "five hundred twenty-eight billion, forty-six million, eight hundred twenty-seven thousand, eight hundred forty".