33728081600820 has 96 divisors (see below), whose sum is σ = 97859883179520. Its totient is φ = 8669367347200.

The previous prime is 33728081600819. The next prime is 33728081600821. The reversal of 33728081600820 is 2800618082733.

It is an interprime number because it is at equal distance from previous prime (33728081600819) and next prime (33728081600821).

It is a super-2 number, since 2×33728081600820² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33728081600820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33728081600821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15312156 + ... + 17375795.

It is an arithmetic number, because the mean of its divisors is an integer number (1019373783120).

Almost surely, 2^{33728081600820} is an apocalyptic number.

33728081600820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33728081600820 is an abundant number, since it is smaller than the sum of its proper divisors (64131801578700).

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

33728081600820 is a wasteful number, since it uses less digits than its factorization.

33728081600820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32688585 (or 32688583 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 33728081600820 in words is "thirty-three trillion, seven hundred twenty-eight billion, eighty-one million, six hundred thousand, eight hundred twenty".