28828800000000 has 3024 divisors, whose sum is σ = 139767397189056. Its totient is φ = 5529600000000.

The previous prime is 28828799999999. The next prime is 28828800000001. The reversal of 28828800000000 is 882882.

It is an interprime number because it is at equal distance from previous prime (28828799999999) and next prime (28828800000001).

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

It is not an unprimeable number, because it can be changed into a prime (28828800000001) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2217599999994 + ... + 2217600000006.

Almost surely, 2^{28828800000000} is an apocalyptic number.

28828800000000 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 28828800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69883698594528).

28828800000000 is an abundant number, since it is smaller than the sum of its proper divisors (110938597189056).

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

28828800000000 is an frugal number, since it uses more digits than its factorization.

28828800000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 41 counting only the distinct ones).

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

Adding to 28828800000000 its reverse (882882), we get a palindrome (28828800882882).

It can be divided in two parts, 288 and 28800000000, that multiplied together give a square (8294400000000 = 2880000²).

The spelling of 28828800000000 in words is "twenty-eight trillion, eight hundred twenty-eight billion, eight hundred million", and thus it is an aban number.