33220261728 has 168 divisors, whose sum is σ = 98839657728. Its totient is φ = 10985248512.

The previous prime is 33220261727. The next prime is 33220261777. The reversal of 33220261728 is 82716202233.

33220261728 is a `hidden beast` number, since 3 + 32 + 2 + 0 + 2 + 617 + 2 + 8 = 666.

It is a super-2 number, since 2×33220261728² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33220261692 and 33220261701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33220261727) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 2957050 + ... + 2968262.

It is an arithmetic number, because the mean of its divisors is an integer number (588331296).

Almost surely, 2^33220261728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33220261728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49419828864).

33220261728 is an abundant number, since it is smaller than the sum of its proper divisors (65619396000).

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

33220261728 is a wasteful number, since it uses less digits than its factorization.

33220261728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368 (or 11345 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 33220261728 in words is "thirty-three billion, two hundred twenty million, two hundred sixty-one thousand, seven hundred twenty-eight".