28117451980800 has 3600 divisors, whose sum is σ = 131050510286080. Its totient is φ = 5801886351360.

The previous prime is 28117451980697. The next prime is 28117451980801. The reversal of 28117451980800 is 808915471182.

28117451980800 is a `hidden beast` number, since 2 + 8 + 117 + 4 + 519 + 8 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×28117451980800² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28117451980801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 202283827131 + ... + 202283827269.

Almost surely, 2^{28117451980800} is an apocalyptic number.

28117451980800 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 28117451980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65525255143040).

28117451980800 is an abundant number, since it is smaller than the sum of its proper divisors (102933058305280).

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

28117451980800 is a wasteful number, since it uses less digits than its factorization.

28117451980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 28117451980800 in words is "twenty-eight trillion, one hundred seventeen billion, four hundred fifty-one million, nine hundred eighty thousand, eight hundred".