28818912844032 has 288 divisors, whose sum is σ = 85584564374400. Its totient is φ = 8555542216704.

The previous prime is 28818912843991. The next prime is 28818912844061. The reversal of 28818912844032 is 23044821981882.

It is a happy number.

It is a super-3 number, since 3×28818912844032³ (a number of 41 digits) contains 333 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 31 ways as a sum of consecutive naturals, for example, 217485894 + ... + 217618362.

It is an arithmetic number, because the mean of its divisors is an integer number (297168626300).

Almost surely, 2^{28818912844032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28818912844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42792282187200).

28818912844032 is an abundant number, since it is smaller than the sum of its proper divisors (56765651530368).

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

28818912844032 is a wasteful number, since it uses less digits than its factorization.

28818912844032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133401 (or 133387 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 60.

The spelling of 28818912844032 in words is "twenty-eight trillion, eight hundred eighteen billion, nine hundred twelve million, eight hundred forty-four thousand, thirty-two".