28800288000000 has 1008 divisors, whose sum is σ = 113439005774640. Its totient is φ = 6981120000000.

The previous prime is 28800287999993. The next prime is 28800288000013. The reversal of 28800288000000 is 88200882.

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 83 ways as a sum of consecutive naturals, for example, 3167995455 + ... + 3168004545.

It is an arithmetic number, because the mean of its divisors is an integer number (112538696205).

Almost surely, 2^{28800288000000} is an apocalyptic number.

28800288000000 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 28800288000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56719502887320).

28800288000000 is an abundant number, since it is smaller than the sum of its proper divisors (84638717774640).

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

28800288000000 is an frugal number, since it uses more digits than its factorization.

28800288000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160 (or 9112 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, 28800 and 288000000, that multiplied together give a square (8294400000000 = 2880000²).

The spelling of 28800288000000 in words is "twenty-eight trillion, eight hundred billion, two hundred eighty-eight million", and thus it is an aban number.