28414819585152 has 4320 divisors, whose sum is σ = 123569966284380. Its totient is φ = 6414789427200.

The previous prime is 28414819585133. The next prime is 28414819585153. The reversal of 28414819585152 is 25158591841482.

It is a happy number.

28414819585152 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 48 + 1 + 9 + 585 + 1 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28385282350656 + 29537234496 = 5327784^2 + 171864^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 28414819585152.

It is not an unprimeable number, because it can be changed into a prime (28414819585153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 767968096878 + ... + 767968096914.

Almost surely, 2^{28414819585152} is an apocalyptic number.

28414819585152 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 28414819585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61784983142190).

28414819585152 is an abundant number, since it is smaller than the sum of its proper divisors (95155146699228).

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

28414819585152 is a wasteful number, since it uses less digits than its factorization.

28414819585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 104 counting only the distinct ones).

The product of its digits is 36864000, while the sum is 63.

The spelling of 28414819585152 in words is "twenty-eight trillion, four hundred fourteen billion, eight hundred nineteen million, five hundred eighty-five thousand, one hundred fifty-two".