28260447264000 has 2304 divisors, whose sum is σ = 125068970557440. Its totient is φ = 6148937318400.

The previous prime is 28260447263999. The next prime is 28260447264029. The reversal of 28260447264000 is 46274406282.

28260447264000 is a `hidden beast` number, since 2 + 82 + 60 + 4 + 472 + 6 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×28260447264000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10517470657 + ... + 10517473343.

It is an arithmetic number, because the mean of its divisors is an integer number (54283407360).

Almost surely, 2^{28260447264000} is an apocalyptic number.

28260447264000 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 28260447264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62534485278720).

28260447264000 is an abundant number, since it is smaller than the sum of its proper divisors (96808523293440).

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

28260447264000 is a wasteful number, since it uses less digits than its factorization.

28260447264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 28260447264000 in words is "twenty-eight trillion, two hundred sixty billion, four hundred forty-seven million, two hundred sixty-four thousand".