28905112440 has 448 divisors, whose sum is σ = 101352578400. Its totient is φ = 7410963456.

The previous prime is 28905112417. The next prime is 28905112441. The reversal of 28905112440 is 4421150982.

28905112440 is a `hidden beast` number, since 2 + 89 + 0 + 511 + 24 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28905112395 and 28905112404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28905112441) 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 111 ways as a sum of consecutive naturals, for example, 91183162 + ... + 91183478.

Almost surely, 2^28905112440 is an apocalyptic number.

28905112440 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 28905112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50676289200).

28905112440 is an abundant number, since it is smaller than the sum of its proper divisors (72447465960).

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

28905112440 is a wasteful number, since it uses less digits than its factorization.

28905112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 28905112440 in words is "twenty-eight billion, nine hundred five million, one hundred twelve thousand, four hundred forty".