28214808638328 has 192 divisors, whose sum is σ = 87145970839200. Its totient is φ = 8169678766080.

The previous prime is 28214808638321. The next prime is 28214808638369. The reversal of 28214808638328 is 82383680841282.

28214808638328 is a `hidden beast` number, since 2 + 8 + 21 + 480 + 86 + 38 + 3 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28214808638321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119046583 + ... + 119283353.

Almost surely, 2^{28214808638328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28214808638328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43572985419600).

28214808638328 is an abundant number, since it is smaller than the sum of its proper divisors (58931162200872).

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

28214808638328 is a wasteful number, since it uses less digits than its factorization.

28214808638328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244302 (or 244295 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 28214808638328 in words is "twenty-eight trillion, two hundred fourteen billion, eight hundred eight million, six hundred thirty-eight thousand, three hundred twenty-eight".