28532106453312 has 2688 divisors, whose sum is σ = 117012113326080. Its totient is φ = 6642155520000.

The previous prime is 28532106453307. The next prime is 28532106453317. The reversal of 28532106453312 is 21335460123582.

28532106453312 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 2 + 106 + 4 + 533 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28532106453307) and next prime (28532106453317).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28532106453317) 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 383 ways as a sum of consecutive naturals, for example, 54764119612 + ... + 54764120132.

It is an arithmetic number, because the mean of its divisors is an integer number (43531292160).

Almost surely, 2^{28532106453312} is an apocalyptic number.

28532106453312 is a gapful number since it is divisible by the number (22) 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 28532106453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58506056663040).

28532106453312 is an abundant number, since it is smaller than the sum of its proper divisors (88480006872768).

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

28532106453312 is a wasteful number, since it uses less digits than its factorization.

28532106453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 28532106453312 its reverse (21335460123582), we get a palindrome (49867566576894).

The spelling of 28532106453312 in words is "twenty-eight trillion, five hundred thirty-two billion, one hundred six million, four hundred fifty-three thousand, three hundred twelve".