28229218080 has 864 divisors, whose sum is σ = 116716795776. Its totient is φ = 5597724672.

The previous prime is 28229218051. The next prime is 28229218093. The reversal of 28229218080 is 8081292282.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 762951822 + ... + 762951858.

It is an arithmetic number, because the mean of its divisors is an integer number (135088884).

Almost surely, 2^28229218080 is an apocalyptic number.

28229218080 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 28229218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58358397888).

28229218080 is an abundant number, since it is smaller than the sum of its proper divisors (88487577696).

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

28229218080 is a wasteful number, since it uses less digits than its factorization.

28229218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 28229218080 in words is "twenty-eight billion, two hundred twenty-nine million, two hundred eighteen thousand, eighty".