28258426224 has 180 divisors, whose sum is σ = 92098089720. Its totient is φ = 8064887040.

The previous prime is 28258426219. The next prime is 28258426241. The reversal of 28258426224 is 42262485282.

28258426224 is a `hidden beast` number, since 2 + 8 + 2 + 584 + 2 + 62 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28258426224.

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 35 ways as a sum of consecutive naturals, for example, 8881914 + ... + 8885094.

It is an arithmetic number, because the mean of its divisors is an integer number (511656054).

Almost surely, 2^28258426224 is an apocalyptic number.

28258426224 is a gapful number since it is divisible by the number (24) 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 28258426224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46049044860).

28258426224 is an abundant number, since it is smaller than the sum of its proper divisors (63839663496).

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

28258426224 is a wasteful number, since it uses less digits than its factorization.

28258426224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4452 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The spelling of 28258426224 in words is "twenty-eight billion, two hundred fifty-eight million, four hundred twenty-six thousand, two hundred twenty-four".