28845285717600 has 864 divisors, whose sum is σ = 118530137273184. Its totient is φ = 6523178188800.

The previous prime is 28845285717551. The next prime is 28845285717637. The reversal of 28845285717600 is 671758254882.

28845285717600 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 5 + 2 + 8 + 5 + 7 + 17 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 152048404 + ... + 152237996.

It is an arithmetic number, because the mean of its divisors is an integer number (137187658881).

Almost surely, 2^{28845285717600} is an apocalyptic number.

28845285717600 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 28845285717600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59265068636592).

28845285717600 is an abundant number, since it is smaller than the sum of its proper divisors (89684851555584).

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

28845285717600 is a wasteful number, since it uses less digits than its factorization.

28845285717600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189760 (or 189744 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 28845285717600 in words is "twenty-eight trillion, eight hundred forty-five billion, two hundred eighty-five million, seven hundred seventeen thousand, six hundred".