28118806508160 has 448 divisors, whose sum is σ = 106090746516000. Its totient is φ = 7103696246784.

The previous prime is 28118806508083. The next prime is 28118806508201. The reversal of 28118806508160 is 6180560881182.

28118806508160 is a `hidden beast` number, since 2 + 8 + 118 + 8 + 0 + 6 + 508 + 16 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28118806508097 and 28118806508106.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7278631 + ... + 10450649.

Almost surely, 2^{28118806508160} is an apocalyptic number.

28118806508160 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 28118806508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53045373258000).

28118806508160 is an abundant number, since it is smaller than the sum of its proper divisors (77971940007840).

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

28118806508160 is an equidigital number, since it uses as much as digits as its factorization.

28118806508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172075 (or 3172048 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 28118806508160 in words is "twenty-eight trillion, one hundred eighteen billion, eight hundred six million, five hundred eight thousand, one hundred sixty".