28369829952 has 168 divisors, whose sum is σ = 83773179672. Its totient is φ = 9173606400.

The previous prime is 28369829947. The next prime is 28369829981. The reversal of 28369829952 is 25992896382.

28369829952 is a `hidden beast` number, since 283 + 69 + 8 + 299 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8039632896 + 20330197056 = 89664^2 + 142584^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28369829952.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4271178 + ... + 4277814.

It is an arithmetic number, because the mean of its divisors is an integer number (498649879).

Almost surely, 2^28369829952 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 28369829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41886589836).

28369829952 is an abundant number, since it is smaller than the sum of its proper divisors (55403349720).

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

28369829952 is a wasteful number, since it uses less digits than its factorization.

28369829952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6877 (or 6864 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 28369829952 in words is "twenty-eight billion, three hundred sixty-nine million, eight hundred twenty-nine thousand, nine hundred fifty-two".