28468254672 has 360 divisors, whose sum is σ = 99870373512. Its totient is φ = 7493713920.

The previous prime is 28468254649. The next prime is 28468254673. The reversal of 28468254672 is 27645286482.

28468254672 is a `hidden beast` number, since 28 + 4 + 6 + 8 + 2 + 546 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 718025616 + 27750229056 = 26796^2 + 166584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28468254673) 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 71 ways as a sum of consecutive naturals, for example, 3847008 + ... + 3854400.

Almost surely, 2^28468254672 is an apocalyptic number.

28468254672 is a gapful number since it is divisible by the number (22) 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 28468254672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49935186756).

28468254672 is an abundant number, since it is smaller than the sum of its proper divisors (71402118840).

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

28468254672 is a wasteful number, since it uses less digits than its factorization.

28468254672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7459 (or 7439 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 28468254672 in words is "twenty-eight billion, four hundred sixty-eight million, two hundred fifty-four thousand, six hundred seventy-two".