28224347719680 has 2160 divisors, whose sum is σ = 121750738249140. Its totient is φ = 6231103635456.

The previous prime is 28224347719649. The next prime is 28224347719811. The reversal of 28224347719680 is 8691774342282.

It is a happy number.

28224347719680 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 434 + 7 + 7 + 196 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20740227572736 + 7484120146944 = 4554144^2 + 2735712^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×28224347719680² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 206017136572 + ... + 206017136708.

Almost surely, 2^{28224347719680} is an apocalyptic number.

28224347719680 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 28224347719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60875369124570).

28224347719680 is an abundant number, since it is smaller than the sum of its proper divisors (93526390529460).

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

28224347719680 is an equidigital number, since it uses as much as digits as its factorization.

28224347719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

It can be divided in two parts, 28224 and 347719680, that added together give a square (347747904 = 18648²).

The spelling of 28224347719680 in words is "twenty-eight trillion, two hundred twenty-four billion, three hundred forty-seven million, seven hundred nineteen thousand, six hundred eighty".