28394517360 has 160 divisors (see below), whose sum is σ = 96172987392. Its totient is φ = 6872919040.

The previous prime is 28394517341. The next prime is 28394517421. The reversal of 28394517360 is 6371549382.

28394517360 is a nontrivial binomial coefficient, being equal to C(238305, 2).

It is a super-4 number, since 4×28394517360⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1779337 + ... + 1795223.

It is a 1-persistent number, because it is pandigital, but 2⋅28394517360 = 56789034720 is not.

Almost surely, 2^28394517360 is an apocalyptic number.

28394517360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28394517360 is the 238304-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28394517360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48086493696).

28394517360 is an abundant number, since it is smaller than the sum of its proper divisors (67778470032).

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

28394517360 is a wasteful number, since it uses less digits than its factorization.

28394517360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16591 (or 16585 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 28394517360 in words is "twenty-eight billion, three hundred ninety-four million, five hundred seventeen thousand, three hundred sixty".