28081613260800 has 1152 divisors, whose sum is σ = 112718629296000. Its totient is φ = 6796011110400.

The previous prime is 28081613260739. The next prime is 28081613260847. The reversal of 28081613260800 is 806231618082.

28081613260800 is a `hidden beast` number, since 2 + 8 + 0 + 8 + 1 + 6 + 1 + 32 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11754546006 + ... + 11754548394.

It is an arithmetic number, because the mean of its divisors is an integer number (97846032375).

Almost surely, 2^{28081613260800} is an apocalyptic number.

28081613260800 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 28081613260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56359314648000).

28081613260800 is an abundant number, since it is smaller than the sum of its proper divisors (84637016035200).

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

28081613260800 is a wasteful number, since it uses less digits than its factorization.

28081613260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

Adding to 28081613260800 its reverse (806231618082), we get a palindrome (28887844878882).

The spelling of 28081613260800 in words is "twenty-eight trillion, eighty-one billion, six hundred thirteen million, two hundred sixty thousand, eight hundred".