33828029133696 has 576 divisors, whose sum is σ = 126207957330000. Its totient is φ = 8617839132672.

The previous prime is 33828029133667. The next prime is 33828029133749. The reversal of 33828029133696 is 69633192082833.

33828029133696 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 8 + 0 + 291 + 336 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×33828029133696² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17305030 + ... + 19160378.

Almost surely, 2^{33828029133696} is an apocalyptic number.

33828029133696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33828029133696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63103978665000).

33828029133696 is an abundant number, since it is smaller than the sum of its proper divisors (92379928196304).

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

33828029133696 is a wasteful number, since it uses less digits than its factorization.

33828029133696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855419 (or 1855397 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 33828029133696 in words is "thirty-three trillion, eight hundred twenty-eight billion, twenty-nine million, one hundred thirty-three thousand, six hundred ninety-six".