28622170658200 has 288 divisors, whose sum is σ = 78526418630400. Its totient is φ = 9672040224000.

The previous prime is 28622170658189. The next prime is 28622170658209. The reversal of 28622170658200 is 285607122682.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28622170658209) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3770536405 + ... + 3770543995.

It is an arithmetic number, because the mean of its divisors is an integer number (272661175800).

Almost surely, 2^{28622170658200} is an apocalyptic number.

28622170658200 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 28622170658200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39263209315200).

28622170658200 is an abundant number, since it is smaller than the sum of its proper divisors (49904247972200).

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

28622170658200 is a wasteful number, since it uses less digits than its factorization.

28622170658200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13111 (or 13095 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 28622170658200 in words is "twenty-eight trillion, six hundred twenty-two billion, one hundred seventy million, six hundred fifty-eight thousand, two hundred".