28854348480 has 336 divisors, whose sum is σ = 106908721920. Its totient is φ = 7119415296.

The previous prime is 28854348473. The next prime is 28854348487. The reversal of 28854348480 is 8484345882.

28854348480 is a `hidden beast` number, since 2 + 8 + 85 + 4 + 3 + 484 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (28854348473) and next prime (28854348487).

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 not an unprimeable number, because it can be changed into a prime (28854348487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2346829 + ... + 2359091.

It is an arithmetic number, because the mean of its divisors is an integer number (318180720).

Almost surely, 2^28854348480 is an apocalyptic number.

28854348480 is a gapful number since it is divisible by the number (20) 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 28854348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53454360960).

28854348480 is an abundant number, since it is smaller than the sum of its proper divisors (78054373440).

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

28854348480 is a wasteful number, since it uses less digits than its factorization.

28854348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12348 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 28854348480 in words is "twenty-eight billion, eight hundred fifty-four million, three hundred forty-eight thousand, four hundred eighty".