28175585280000 has 640 divisors, whose sum is σ = 94540019259840. Its totient is φ = 7461273600000.

The previous prime is 28175585279977. The next prime is 28175585280023. The reversal of 28175585280000 is 8258557182.

It is an interprime number because it is at equal distance from previous prime (28175585279977) and next prime (28175585280023).

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9277438482 + ... + 9277441518.

Almost surely, 2^{28175585280000} is an apocalyptic number.

28175585280000 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 28175585280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47270009629920).

28175585280000 is an abundant number, since it is smaller than the sum of its proper divisors (66364433979840).

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

28175585280000 is an frugal number, since it uses more digits than its factorization.

28175585280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 51.

The spelling of 28175585280000 in words is "twenty-eight trillion, one hundred seventy-five billion, five hundred eighty-five million, two hundred eighty thousand".