28266826867200 has 1680 divisors, whose sum is σ = 112747617625896. Its totient is φ = 6994368921600.

The previous prime is 28266826867189. The next prime is 28266826867271. The reversal of 28266826867200 is 276862866282.

It can be written as a sum of positive squares in 12 ways, for example, as 1092041720064 + 27174785147136 = 1045008^2 + 5212944^2 .

It is a super-2 number, since 2×28266826867200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11580017980 + ... + 11580020420.

Almost surely, 2^{28266826867200} is an apocalyptic number.

28266826867200 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 28266826867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56373808812948).

28266826867200 is an abundant number, since it is smaller than the sum of its proper divisors (84480790758696).

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

28266826867200 is an equidigital number, since it uses as much as digits as its factorization.

28266826867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 28266826867200 in words is "twenty-eight trillion, two hundred sixty-six billion, eight hundred twenty-six million, eight hundred sixty-seven thousand, two hundred".