28086728912160 has 192 divisors, whose sum is σ = 89055702626688. Its totient is φ = 7440522706944.

The previous prime is 28086728912119. The next prime is 28086728912213. The reversal of 28086728912160 is 6121982768082.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 28086728912094 and 28086728912103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177760554 + ... + 177918486.

It is an arithmetic number, because the mean of its divisors is an integer number (463831784514).

Almost surely, 2^{28086728912160} is an apocalyptic number.

28086728912160 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 28086728912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44527851313344).

28086728912160 is an abundant number, since it is smaller than the sum of its proper divisors (60968973714528).

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

28086728912160 is a wasteful number, since it uses less digits than its factorization.

28086728912160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160387 (or 160379 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 28086728912160 in words is "twenty-eight trillion, eighty-six billion, seven hundred twenty-eight million, nine hundred twelve thousand, one hundred sixty".