33063828000 has 768 divisors, whose sum is σ = 131144832000. Its totient is φ = 7270502400.

The previous prime is 33063827963. The next prime is 33063828011. The reversal of 33063828000 is 82836033.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 119363862 + ... + 119364138.

It is an arithmetic number, because the mean of its divisors is an integer number (170761500).

Almost surely, 2^33063828000 is an apocalyptic number.

33063828000 is a gapful number since it is divisible by the number (30) 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 33063828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65572416000).

33063828000 is an abundant number, since it is smaller than the sum of its proper divisors (98081004000).

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

33063828000 is a wasteful number, since it uses less digits than its factorization.

33063828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 33063828000 in words is "thirty-three billion, sixty-three million, eight hundred twenty-eight thousand".