28275122304000 has 3696 divisors, whose sum is σ = 125701015662144. Its totient is φ = 6288482304000.

The previous prime is 28275122303957. The next prime is 28275122304017. The reversal of 28275122304000 is 40322157282.

28275122304000 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 5 + 12 + 230 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 173467007919 + ... + 173467008081.

Almost surely, 2^{28275122304000} is an apocalyptic number.

28275122304000 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 28275122304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62850507831072).

28275122304000 is an abundant number, since it is smaller than the sum of its proper divisors (97425893358144).

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

28275122304000 is a wasteful number, since it uses less digits than its factorization.

28275122304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 28275122304000 in words is "twenty-eight trillion, two hundred seventy-five billion, one hundred twenty-two million, three hundred four thousand".