28844510240 has 384 divisors, whose sum is σ = 86700741120. Its totient is φ = 8825241600.

The previous prime is 28844510239. The next prime is 28844510273. The reversal of 28844510240 is 4201544882.

It is a junction number, because it is equal to n+sod(n) for n = 28844510194 and 28844510203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125958446 + ... + 125958674.

It is an arithmetic number, because the mean of its divisors is an integer number (225783180).

Almost surely, 2^28844510240 is an apocalyptic number.

28844510240 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 28844510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43350370560).

28844510240 is an abundant number, since it is smaller than the sum of its proper divisors (57856230880).

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

28844510240 is a wasteful number, since it uses less digits than its factorization.

28844510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 38.

The spelling of 28844510240 in words is "twenty-eight billion, eight hundred forty-four million, five hundred ten thousand, two hundred forty".