28565581824000 has 2560 divisors, whose sum is σ = 118458822081600. Its totient is φ = 6803265945600.

The previous prime is 28565581823971. The next prime is 28565581824001. The reversal of 28565581824000 is 42818556582.

28565581824000 is a `hidden beast` number, since 2 + 8 + 5 + 6 + 5 + 58 + 182 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28565581824001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 159584255911 + ... + 159584256089.

Almost surely, 2^{28565581824000} is an apocalyptic number.

28565581824000 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 28565581824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59229411040800).

28565581824000 is an abundant number, since it is smaller than the sum of its proper divisors (89893240257600).

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

28565581824000 is an equidigital number, since it uses as much as digits as its factorization.

28565581824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 28565581824000 in words is "twenty-eight trillion, five hundred sixty-five billion, five hundred eighty-one million, eight hundred twenty-four thousand".