28734007680 has 288 divisors, whose sum is σ = 115422783840. Its totient is φ = 6567708672.

The previous prime is 28734007633. The next prime is 28734007697. The reversal of 28734007680 is 8670043782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231337 + ... + 333143.

It is an arithmetic number, because the mean of its divisors is an integer number (400773555).

Almost surely, 2^28734007680 is an apocalyptic number.

28734007680 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 28734007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57711391920).

28734007680 is an abundant number, since it is smaller than the sum of its proper divisors (86688776160).

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

28734007680 is a wasteful number, since it uses less digits than its factorization.

28734007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101846 (or 101824 counting only the distinct ones).

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

The spelling of 28734007680 in words is "twenty-eight billion, seven hundred thirty-four million, seven thousand, six hundred eighty".