28467860935680 has 1980 divisors, whose sum is σ = 113535188127900. Its totient is φ = 6819007168512.

The previous prime is 28467860935651. The next prime is 28467860935727. The reversal of 28467860935680 is 8653906876482.

28467860935680 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 7 + 8 + 609 + 3 + 5 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2181978031104 + 26285882904576 = 1477152^2 + 5126976^2 .

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 = 28467860935599 and 28467860935608.

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 63402808096 + ... + 63402808544.

It is an arithmetic number, because the mean of its divisors is an integer number (57341004105).

Almost surely, 2^{28467860935680} is an apocalyptic number.

28467860935680 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 28467860935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56767594063950).

28467860935680 is an abundant number, since it is smaller than the sum of its proper divisors (85067327192220).

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

28467860935680 is a wasteful number, since it uses less digits than its factorization.

28467860935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 28467860935680 in words is "twenty-eight trillion, four hundred sixty-seven billion, eight hundred sixty million, nine hundred thirty-five thousand, six hundred eighty".