33828075528 has 128 divisors (see below), whose sum is σ = 94104218880. Its totient is φ = 10068065280.

The previous prime is 33828075509. The next prime is 33828075529. The reversal of 33828075528 is 82557082833.

It is a super-2 number, since 2×33828075528² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (33828075529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1159650 + ... + 1188462.

It is an arithmetic number, because the mean of its divisors is an integer number (735189210).

Almost surely, 2^33828075528 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 33828075528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47052109440).

33828075528 is an abundant number, since it is smaller than the sum of its proper divisors (60276143352).

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

33828075528 is a wasteful number, since it uses less digits than its factorization.

33828075528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28959 (or 28955 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 33828075528 in words is "thirty-three billion, eight hundred twenty-eight million, seventy-five thousand, five hundred twenty-eight".