28308300007680 has 2592 divisors, whose sum is σ = 135694947548160. Its totient is φ = 5572025303040.

The previous prime is 28308300007679. The next prime is 28308300007697. The reversal of 28308300007680 is 8670000380382.

28308300007680 is a `hidden beast` number, since 283 + 0 + 8 + 300 + 0 + 0 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3185356197 + ... + 3185365083.

Almost surely, 2^{28308300007680} is an apocalyptic number.

28308300007680 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 28308300007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67847473774080).

28308300007680 is an abundant number, since it is smaller than the sum of its proper divisors (107386647540480).

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

28308300007680 is a wasteful number, since it uses less digits than its factorization.

28308300007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8967 (or 8934 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 28308300007680 in words is "twenty-eight trillion, three hundred eight billion, three hundred million, seven thousand, six hundred eighty".