28918453680 has 160 divisors (see below), whose sum is σ = 99700761600. Its totient is φ = 7704407808.

The previous prime is 28918453651. The next prime is 28918453691. The reversal of 28918453680 is 8635481982.

28918453680 is a `hidden beast` number, since 28 + 9 + 1 + 8 + 4 + 536 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2558281 + ... + 2569559.

It is an arithmetic number, because the mean of its divisors is an integer number (623129760).

Almost surely, 2^28918453680 is an apocalyptic number.

28918453680 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 28918453680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49850380800).

28918453680 is an abundant number, since it is smaller than the sum of its proper divisors (70782307920).

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

28918453680 is a wasteful number, since it uses less digits than its factorization.

28918453680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12488 (or 12476 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 28918453680 in words is "twenty-eight billion, nine hundred eighteen million, four hundred fifty-three thousand, six hundred eighty".