33428444821680 has 160 divisors (see below), whose sum is σ = 111742838000640. Its totient is φ = 8239103170560.

The previous prime is 33428444821649. The next prime is 33428444821727. The reversal of 33428444821680 is 8612844482433.

It is a happy number.

It is a super-3 number, since 3×33428444821680³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 33428444821680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89213032 + ... + 89586951.

It is an arithmetic number, because the mean of its divisors is an integer number (698392737504).

Almost surely, 2^{33428444821680} is an apocalyptic number.

33428444821680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33428444821680 is an abundant number, since it is smaller than the sum of its proper divisors (78314393178960).

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

33428444821680 is a wasteful number, since it uses less digits than its factorization.

33428444821680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178800059 (or 178800053 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 57.

The spelling of 33428444821680 in words is "thirty-three trillion, four hundred twenty-eight billion, four hundred forty-four million, eight hundred twenty-one thousand, six hundred eighty".