28653258816 has 420 divisors, whose sum is σ = 106417151148. Its totient is φ = 7556032512.

The previous prime is 28653258773. The next prime is 28653258817. The reversal of 28653258816 is 61885235682.

28653258816 is a `hidden beast` number, since 2 + 8 + 6 + 53 + 2 + 588 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5791818816 + 22861440000 = 76104^2 + 151200^2 .

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 (28653258817) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3297870 + ... + 3306546.

Almost surely, 2^28653258816 is an apocalyptic number.

28653258816 is a gapful number since it is divisible by the number (26) 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 28653258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53208575574).

28653258816 is an abundant number, since it is smaller than the sum of its proper divisors (77763892332).

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

28653258816 is a wasteful number, since it uses less digits than its factorization.

28653258816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728 (or 8702 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 28653258816 in words is "twenty-eight billion, six hundred fifty-three million, two hundred fifty-eight thousand, eight hundred sixteen".