33828713600 has 192 divisors, whose sum is σ = 91452628800. Its totient is φ = 12262502400.

The previous prime is 33828713587. The next prime is 33828713603. The reversal of 33828713600 is 631782833.

It is a super-2 number, since 2×33828713600² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33828713603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12635462 + ... + 12638138.

It is an arithmetic number, because the mean of its divisors is an integer number (476315775).

Almost surely, 2^33828713600 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 33828713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45726314400).

33828713600 is an abundant number, since it is smaller than the sum of its proper divisors (57623915200).

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

33828713600 is a wasteful number, since it uses less digits than its factorization.

33828713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 33828713600 in words is "thirty-three billion, eight hundred twenty-eight million, seven hundred thirteen thousand, six hundred".