28828800000 has 1584 divisors, whose sum is σ = 139698808704. Its totient is φ = 5529600000.

The previous prime is 28828799969. The next prime is 28828800023. The reversal of 28828800000 is 882882.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2217599994 + ... + 2217600006.

Almost surely, 2^28828800000 is an apocalyptic number.

28828800000 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 28828800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69849404352).

28828800000 is an abundant number, since it is smaller than the sum of its proper divisors (110870008704).

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

28828800000 is a wasteful number, since it uses less digits than its factorization.

28828800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

It can be divided in two parts, 28828 and 800000, that added together give a palindrome (828828).

The spelling of 28828800000 in words is "twenty-eight billion, eight hundred twenty-eight million, eight hundred thousand".