33628980168 has 256 divisors, whose sum is σ = 114636902400. Its totient is φ = 8915235840.

The previous prime is 33628980167. The next prime is 33628980173. The reversal of 33628980168 is 86108982633.

It is a happy number.

33628980168 is a `hidden beast` number, since 3 + 3 + 628 + 9 + 8 + 0 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×33628980168² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (33628980163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1815771 + ... + 1834197.

It is an arithmetic number, because the mean of its divisors is an integer number (447800400).

Almost surely, 2^33628980168 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 33628980168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57318451200).

33628980168 is an abundant number, since it is smaller than the sum of its proper divisors (81007922232).

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

33628980168 is a wasteful number, since it uses less digits than its factorization.

33628980168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18537 (or 18527 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 33628980168 in words is "thirty-three billion, six hundred twenty-eight million, nine hundred eighty thousand, one hundred sixty-eight".