28872320400000 has 3840 divisors, whose sum is σ = 136617195939840. Its totient is φ = 5878656000000.

The previous prime is 28872320399999. The next prime is 28872320400059. The reversal of 28872320400000 is 402327882.

It is a super-2 number, since 2×28872320400000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 177130799919 + ... + 177130800081.

It is an arithmetic number, because the mean of its divisors is an integer number (35577394776).

Almost surely, 2^{28872320400000} is an apocalyptic number.

28872320400000 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 28872320400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68308597969920).

28872320400000 is an abundant number, since it is smaller than the sum of its proper divisors (107744875539840).

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

28872320400000 is an equidigital number, since it uses as much as digits as its factorization.

28872320400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 28872320400000 its reverse (402327882), we get a palindrome (28872722727882).

The spelling of 28872320400000 in words is "twenty-eight trillion, eight hundred seventy-two billion, three hundred twenty million, four hundred thousand".