28596286780160 has 1152 divisors, whose sum is σ = 84579394572288. Its totient is φ = 9141092352000.

The previous prime is 28596286780081. The next prime is 28596286780241. The reversal of 28596286780160 is 6108768269582.

It is a happy number.

It is a super-2 number, since 2×28596286780160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23230126745 + ... + 23230127975.

It is an arithmetic number, because the mean of its divisors is an integer number (73419613344).

Almost surely, 2^{28596286780160} is an apocalyptic number.

28596286780160 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 28596286780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42289697286144).

28596286780160 is an abundant number, since it is smaller than the sum of its proper divisors (55983107792128).

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

28596286780160 is a wasteful number, since it uses less digits than its factorization.

28596286780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 68.

The spelling of 28596286780160 in words is "twenty-eight trillion, five hundred ninety-six billion, two hundred eighty-six million, seven hundred eighty thousand, one hundred sixty".