28825958603520 has 1728 divisors, whose sum is σ = 111775249797120. Its totient is φ = 6814394744832.

The previous prime is 28825958603467. The next prime is 28825958603527. The reversal of 28825958603520 is 2530685952882.

28825958603520 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 59 + 58 + 6 + 0 + 3 + 520 = 666.

It is not an unprimeable number, because it can be changed into a prime (28825958603527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161038874791 + ... + 161038874969.

It is an arithmetic number, because the mean of its divisors is an integer number (64684751040).

Almost surely, 2^{28825958603520} is an apocalyptic number.

28825958603520 is a gapful number since it is divisible by the number (20) 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 28825958603520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55887624898560).

28825958603520 is an abundant number, since it is smaller than the sum of its proper divisors (82949291193600).

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

28825958603520 is a wasteful number, since it uses less digits than its factorization.

28825958603520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 28825958603520 in words is "twenty-eight trillion, eight hundred twenty-five billion, nine hundred fifty-eight million, six hundred three thousand, five hundred twenty".