28880017770240 has 1296 divisors, whose sum is σ = 132540742309248. Its totient is φ = 5734908297216.

The previous prime is 28880017770221. The next prime is 28880017770283. The reversal of 28880017770240 is 4207771008882.

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, 124634329 + ... + 124865831.

It is an arithmetic number, because the mean of its divisors is an integer number (102269091288).

Almost surely, 2^{28880017770240} is an apocalyptic number.

28880017770240 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 28880017770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66270371154624).

28880017770240 is an abundant number, since it is smaller than the sum of its proper divisors (103660724539008).

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

28880017770240 is a wasteful number, since it uses less digits than its factorization.

28880017770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231574 (or 231550 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 28880017770240 in words is "twenty-eight trillion, eight hundred eighty billion, seventeen million, seven hundred seventy thousand, two hundred forty".