28734713280 has 1344 divisors, whose sum is σ = 133095674880. Its totient is φ = 5773565952.

The previous prime is 28734713261. The next prime is 28734713309. The reversal of 28734713280 is 8231743782.

28734713280 is a `hidden beast` number, since 2 + 8 + 73 + 471 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 126584527 + ... + 126584753.

It is an arithmetic number, because the mean of its divisors is an integer number (99029520).

Almost surely, 2^28734713280 is an apocalyptic number.

28734713280 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 28734713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66547837440).

28734713280 is an abundant number, since it is smaller than the sum of its proper divisors (104360961600).

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

28734713280 is a wasteful number, since it uses less digits than its factorization.

28734713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 28734713280 in words is "twenty-eight billion, seven hundred thirty-four million, seven hundred thirteen thousand, two hundred eighty".