28339085656224 has 288 divisors, whose sum is σ = 94684172558976. Its totient is φ = 7870309816320.

The previous prime is 28339085656159. The next prime is 28339085656229. The reversal of 28339085656224 is 42265658093382.

28339085656224 is a `hidden beast` number, since 2 + 8 + 3 + 3 + 9 + 0 + 8 + 565 + 62 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (28339085656229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75972379 + ... + 76344485.

It is an arithmetic number, because the mean of its divisors is an integer number (328764488052).

Almost surely, 2^{28339085656224} is an apocalyptic number.

28339085656224 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 28339085656224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47342086279488).

28339085656224 is an abundant number, since it is smaller than the sum of its proper divisors (66345086902752).

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

28339085656224 is a wasteful number, since it uses less digits than its factorization.

28339085656224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373188 (or 373177 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 28339085656224 in words is "twenty-eight trillion, three hundred thirty-nine billion, eighty-five million, six hundred fifty-six thousand, two hundred twenty-four".