28206390867200 has 432 divisors, whose sum is σ = 86729672695680. Its totient is φ = 8843409653760.

The previous prime is 28206390867181. The next prime is 28206390867203. The reversal of 28206390867200 is 276809360282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28206390867203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62090486 + ... + 62543114.

It is an arithmetic number, because the mean of its divisors is an integer number (200763131240).

Almost surely, 2^{28206390867200} is an apocalyptic number.

28206390867200 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 28206390867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43364836347840).

28206390867200 is an abundant number, since it is smaller than the sum of its proper divisors (58523281828480).

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

28206390867200 is a wasteful number, since it uses less digits than its factorization.

28206390867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452782 (or 452763 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 28206390867200 in words is "twenty-eight trillion, two hundred six billion, three hundred ninety million, eight hundred sixty-seven thousand, two hundred".