28644431760 has 360 divisors, whose sum is σ = 116051697216. Its totient is φ = 6547080960.

The previous prime is 28644431759. The next prime is 28644431797. The reversal of 28644431760 is 6713444682.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 937525 + ... + 967595.

Almost surely, 2^28644431760 is an apocalyptic number.

28644431760 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 28644431760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58025848608).

28644431760 is an abundant number, since it is smaller than the sum of its proper divisors (87407265456).

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

28644431760 is a wasteful number, since it uses less digits than its factorization.

28644431760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30113 (or 30088 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 28644431760 in words is "twenty-eight billion, six hundred forty-four million, four hundred thirty-one thousand, seven hundred sixty".