528484424832 has 1536 divisors, whose sum is σ = 2115761356800. Its totient is φ = 127382077440.

The previous prime is 528484424827. The next prime is 528484424891. The reversal of 528484424832 is 238424484825.

It is a happy number.

528484424832 is a `hidden beast` number, since 5 + 2 + 84 + 84 + 4 + 2 + 483 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1667143138 + ... + 1667143454.

It is an arithmetic number, because the mean of its divisors is an integer number (1377448800).

Almost surely, 2^528484424832 is an apocalyptic number.

528484424832 is a gapful number since it is divisible by the number (52) 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 528484424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057880678400).

528484424832 is an abundant number, since it is smaller than the sum of its proper divisors (1587276931968).

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

528484424832 is a wasteful number, since it uses less digits than its factorization.

528484424832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 392 counting only the distinct ones).

The product of its digits is 15728640, while the sum is 54.

The spelling of 528484424832 in words is "five hundred twenty-eight billion, four hundred eighty-four million, four hundred twenty-four thousand, eight hundred thirty-two".