28918052352 has 800 divisors, whose sum is σ = 106092923904. Its totient is φ = 7664025600.

The previous prime is 28918052333. The next prime is 28918052353. The reversal of 28918052352 is 25325081982.

28918052352 is a `hidden beast` number, since 289 + 18 + 0 + 5 + 2 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28918052298 and 28918052307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28918052353) 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 79 ways as a sum of consecutive naturals, for example, 407296477 + ... + 407296547.

Almost surely, 2^28918052352 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 28918052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53046461952).

28918052352 is an abundant number, since it is smaller than the sum of its proper divisors (77174871552).

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

28918052352 is an equidigital number, since it uses as much as digits as its factorization.

28918052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 28918052352 in words is "twenty-eight billion, nine hundred eighteen million, fifty-two thousand, three hundred fifty-two".