28175620300800 has 1344 divisors, whose sum is σ = 113386507084800. Its totient is φ = 6159075901440.

The previous prime is 28175620300783. The next prime is 28175620300829. The reversal of 28175620300800 is 800302657182.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4846998694 + ... + 4847004506.

Almost surely, 2^{28175620300800} is an apocalyptic number.

28175620300800 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 28175620300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56693253542400).

28175620300800 is an abundant number, since it is smaller than the sum of its proper divisors (85210886784000).

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

28175620300800 is an equidigital number, since it uses as much as digits as its factorization.

28175620300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

Adding to 28175620300800 its reverse (800302657182), we get a palindrome (28975922957982).

The spelling of 28175620300800 in words is "twenty-eight trillion, one hundred seventy-five billion, six hundred twenty million, three hundred thousand, eight hundred".