28015623211200 has 2688 divisors, whose sum is σ = 109720977408000. Its totient is φ = 6215240908800.

The previous prime is 28015623211187. The next prime is 28015623211231. The reversal of 28015623211200 is 211232651082.

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 383 ways as a sum of consecutive naturals, for example, 117220180681 + ... + 117220180919.

It is an arithmetic number, because the mean of its divisors is an integer number (40818816000).

Almost surely, 2^{28015623211200} is an apocalyptic number.

28015623211200 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 28015623211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54860488704000).

28015623211200 is an abundant number, since it is smaller than the sum of its proper divisors (81705354196800).

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

28015623211200 is a wasteful number, since it uses less digits than its factorization.

28015623211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 28015623211200 its reverse (211232651082), we get a palindrome (28226855862282).

The spelling of 28015623211200 in words is "twenty-eight trillion, fifteen billion, six hundred twenty-three million, two hundred eleven thousand, two hundred".