33728731445248 has 192 divisors, whose sum is σ = 83020955996160. Its totient is φ = 13380658790400.

The previous prime is 33728731445173. The next prime is 33728731445267. The reversal of 33728731445248 is 84254413782733.

It is a super-2 number, since 2×33728731445248² (a number of 28 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 15 ways as a sum of consecutive naturals, for example, 8571688 + ... + 11871448.

It is an arithmetic number, because the mean of its divisors is an integer number (432400812480).

Almost surely, 2^{33728731445248} 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 33728731445248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41510477998080).

33728731445248 is an abundant number, since it is smaller than the sum of its proper divisors (49292224550912).

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

33728731445248 is a wasteful number, since it uses less digits than its factorization.

33728731445248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299844 (or 3299824 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 61.

The spelling of 33728731445248 in words is "thirty-three trillion, seven hundred twenty-eight billion, seven hundred thirty-one million, four hundred forty-five thousand, two hundred forty-eight".