28443882240 has 360 divisors, whose sum is σ = 102276388368. Its totient is φ = 7547904000.

The previous prime is 28443882221. The next prime is 28443882251. The reversal of 28443882240 is 4228834482.

28443882240 is a `hidden beast` number, since 2 + 8 + 44 + 388 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26023134 + ... + 26024226.

Almost surely, 2^28443882240 is an apocalyptic number.

28443882240 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 28443882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51138194184).

28443882240 is an abundant number, since it is smaller than the sum of its proper divisors (73832506128).

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

28443882240 is a wasteful number, since it uses less digits than its factorization.

28443882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 28443882240 in words is "twenty-eight billion, four hundred forty-three million, eight hundred eighty-two thousand, two hundred forty".