28735224336 has 480 divisors, whose sum is σ = 103374439168. Its totient is φ = 7524679680.

The previous prime is 28735224281. The next prime is 28735224347. The reversal of 28735224336 is 63342253782.

28735224336 is a `hidden beast` number, since 2 + 87 + 3 + 522 + 43 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28735224291 and 28735224300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85267560 + ... + 85267896.

Almost surely, 2^28735224336 is an apocalyptic number.

28735224336 is a gapful number since it is divisible by the number (26) 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 28735224336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51687219584).

28735224336 is an abundant number, since it is smaller than the sum of its proper divisors (74639214832).

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

28735224336 is a wasteful number, since it uses less digits than its factorization.

28735224336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 603 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 28735224336 in words is "twenty-eight billion, seven hundred thirty-five million, two hundred twenty-four thousand, three hundred thirty-six".