28446397087680 has 1344 divisors, whose sum is σ = 117686931747840. Its totient is φ = 6215491584000.

The previous prime is 28446397087613. The next prime is 28446397087697. The reversal of 28446397087680 is 8678079364482.

28446397087680 is a `hidden beast` number, since 2 + 8 + 4 + 463 + 9 + 7 + 0 + 87 + 6 + 80 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28446397087599 and 28446397087608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3669078684 + ... + 3669086436.

It is an arithmetic number, because the mean of its divisors is an integer number (87564681360).

Almost surely, 2^{28446397087680} is an apocalyptic number.

28446397087680 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 28446397087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58843465873920).

28446397087680 is an abundant number, since it is smaller than the sum of its proper divisors (89240534660160).

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

28446397087680 is a wasteful number, since it uses less digits than its factorization.

28446397087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8010 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 28446397087680 in words is "twenty-eight trillion, four hundred forty-six billion, three hundred ninety-seven million, eighty-seven thousand, six hundred eighty".