28314611360 has 192 divisors, whose sum is σ = 79496847360. Its totient is φ = 9325532160.

The previous prime is 28314611359. The next prime is 28314611411. The reversal of 28314611360 is 6311641382.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 28314611360.

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 31 ways as a sum of consecutive naturals, for example, 4823147 + ... + 4829013.

It is an arithmetic number, because the mean of its divisors is an integer number (414046080).

Almost surely, 2^28314611360 is an apocalyptic number.

28314611360 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 28314611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39748423680).

28314611360 is an abundant number, since it is smaller than the sum of its proper divisors (51182236000).

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

28314611360 is a wasteful number, since it uses less digits than its factorization.

28314611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6051 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 28314611360 in words is "twenty-eight billion, three hundred fourteen million, six hundred eleven thousand, three hundred sixty".