28271980800 has 1296 divisors, whose sum is σ = 124548278400. Its totient is φ = 6340239360.

The previous prime is 28271980783. The next prime is 28271980801. The reversal of 28271980800 is 808917282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28271980801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 533433574 + ... + 533433626.

Almost surely, 2^28271980800 is an apocalyptic number.

28271980800 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 28271980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62274139200).

28271980800 is an abundant number, since it is smaller than the sum of its proper divisors (96276297600).

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

28271980800 is an frugal number, since it uses more digits than its factorization.

28271980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 28271980800 in words is "twenty-eight billion, two hundred seventy-one million, nine hundred eighty thousand, eight hundred".