28918200960 has 512 divisors, whose sum is σ = 112521830400. Its totient is φ = 6960844800.

The previous prime is 28918200911. The next prime is 28918200967. The reversal of 28918200960 is 6900281982.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28918200967) 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 63 ways as a sum of consecutive naturals, for example, 31742905 + ... + 31743815.

It is an arithmetic number, because the mean of its divisors is an integer number (219769200).

Almost surely, 2^28918200960 is an apocalyptic number.

28918200960 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 28918200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56260915200).

28918200960 is an abundant number, since it is smaller than the sum of its proper divisors (83603629440).

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

28918200960 is a wasteful number, since it uses less digits than its factorization.

28918200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 28918200960 in words is "twenty-eight billion, nine hundred eighteen million, two hundred thousand, nine hundred sixty".