28458586646280 has 640 divisors, whose sum is σ = 113533404019200. Its totient is φ = 6257884925952.

The previous prime is 28458586646279. The next prime is 28458586646309. The reversal of 28458586646280 is 8264668585482.

28458586646280 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 8 + 5 + 86 + 6 + 462 + 80 = 666.

It is a Cunningham number, because it is equal to 5334659²-1.

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 = 28458586646199 and 28458586646208.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 74494717 + ... + 74875763.

It is an arithmetic number, because the mean of its divisors is an integer number (177395943780).

Almost surely, 2^{28458586646280} is an apocalyptic number.

28458586646280 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 28458586646280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56766702009600).

28458586646280 is an abundant number, since it is smaller than the sum of its proper divisors (85074817372920).

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

28458586646280 is a wasteful number, since it uses less digits than its factorization.

28458586646280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381203 (or 381190 counting only the distinct ones).

The product of its (nonzero) digits is 1415577600, while the sum is 72.

The spelling of 28458586646280 in words is "twenty-eight trillion, four hundred fifty-eight billion, five hundred eighty-six million, six hundred forty-six thousand, two hundred eighty".