28416384360 has 640 divisors, whose sum is σ = 121382553600. Its totient is φ = 5800273920.

The previous prime is 28416384349. The next prime is 28416384383. The reversal of 28416384360 is 6348361482.

28416384360 is a `hidden beast` number, since 2 + 8 + 4 + 1 + 638 + 4 + 3 + 6 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 9138486 + ... + 9141594.

It is an arithmetic number, because the mean of its divisors is an integer number (189660240).

Almost surely, 2^28416384360 is an apocalyptic number.

28416384360 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 28416384360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60691276800).

28416384360 is an abundant number, since it is smaller than the sum of its proper divisors (92966169240).

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

28416384360 is a wasteful number, since it uses less digits than its factorization.

28416384360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 28416384360 in words is "twenty-eight billion, four hundred sixteen million, three hundred eighty-four thousand, three hundred sixty".