28758626208 has 288 divisors, whose sum is σ = 93293980416. Its totient is φ = 8659104768.

The previous prime is 28758626203. The next prime is 28758626231. The reversal of 28758626208 is 80262685782.

28758626208 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 8 + 6 + 2 + 620 + 8 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28758626203) 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 47 ways as a sum of consecutive naturals, for example, 4748110 + ... + 4754162.

It is an arithmetic number, because the mean of its divisors is an integer number (323937432).

Almost surely, 2^28758626208 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 28758626208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46646990208).

28758626208 is an abundant number, since it is smaller than the sum of its proper divisors (64535354208).

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

28758626208 is a wasteful number, since it uses less digits than its factorization.

28758626208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 28758626208 in words is "twenty-eight billion, seven hundred fifty-eight million, six hundred twenty-six thousand, two hundred eight".