28743511680 has 768 divisors, whose sum is σ = 111740428800. Its totient is φ = 6762921984.

The previous prime is 28743511673. The next prime is 28743511681. The reversal of 28743511680 is 8611534782.

28743511680 is a `hidden beast` number, since 2 + 8 + 74 + 3 + 511 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28743511681) 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 95 ways as a sum of consecutive naturals, for example, 254367304 + ... + 254367416.

It is an arithmetic number, because the mean of its divisors is an integer number (145495350).

Almost surely, 2^28743511680 is an apocalyptic number.

28743511680 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 28743511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55870214400).

28743511680 is an abundant number, since it is smaller than the sum of its proper divisors (82996917120).

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

28743511680 is a wasteful number, since it uses less digits than its factorization.

28743511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 28743511680 in words is "twenty-eight billion, seven hundred forty-three million, five hundred eleven thousand, six hundred eighty".