28334733336 has 768 divisors, whose sum is σ = 104002560000. Its totient is φ = 7132769280.

The previous prime is 28334733319. The next prime is 28334733431. The reversal of 28334733336 is 63333743382.

28334733336 is a `hidden beast` number, since 283 + 3 + 4 + 7 + 33 + 336 = 666.

It is a super-2 number, since 2×28334733336² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28334733291 and 28334733300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 388146996 + ... + 388147068.

It is an arithmetic number, because the mean of its divisors is an integer number (135420000).

Almost surely, 2^28334733336 is an apocalyptic number.

28334733336 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 28334733336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52001280000).

28334733336 is an abundant number, since it is smaller than the sum of its proper divisors (75667826664).

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

28334733336 is a wasteful number, since it uses less digits than its factorization.

28334733336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 129 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 45.

The spelling of 28334733336 in words is "twenty-eight billion, three hundred thirty-four million, seven hundred thirty-three thousand, three hundred thirty-six".