28688016000 has 256 divisors, whose sum is σ = 108687870720. Its totient is φ = 6557184000.

The previous prime is 28688015959. The next prime is 28688016029. The reversal of 28688016000 is 61088682.

It is a self number, because there is not a number n which added to its sum of digits gives 28688016000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293310 + ... + 378690.

It is an arithmetic number, because the mean of its divisors is an integer number (424561995).

Almost surely, 2^28688016000 is an apocalyptic number.

28688016000 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 28688016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54343935360).

28688016000 is an abundant number, since it is smaller than the sum of its proper divisors (79999854720).

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

28688016000 is an equidigital number, since it uses as much as digits as its factorization.

28688016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85420 (or 85398 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 28688016000 in words is "twenty-eight billion, six hundred eighty-eight million, sixteen thousand".