33728635806 has 16 divisors (see below), whose sum is σ = 67469272464. Its totient is φ = 11240878464.

The previous prime is 33728635777. The next prime is 33728635819. The reversal of 33728635806 is 60853682733.

It is a super-2 number, since 2×33728635806² (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 463291 + ... + 531126.

It is an arithmetic number, because the mean of its divisors is an integer number (4216829529).

Almost surely, 2^33728635806 is an apocalyptic number.

33728635806 is an abundant number, since it is smaller than the sum of its proper divisors (33740636658).

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

33728635806 is a wasteful number, since it uses less digits than its factorization.

33728635806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000075.

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 33728635806 in words is "thirty-three billion, seven hundred twenty-eight million, six hundred thirty-five thousand, eight hundred six".