33882209928 has 180 divisors, whose sum is σ = 110502664965. Its totient is φ = 9671260032.

The previous prime is 33882209917. The next prime is 33882209929. The reversal of 33882209928 is 82990228833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

33882209928 is a `hidden beast` number, since 338 + 82 + 209 + 9 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23128934724 + 10753275204 = 152082^2 + 103698^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=130158.

It is a super-2 number, since 2×33882209928² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (33882209929) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 32799300 + ... + 32800332.

Almost surely, 2^33882209928 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 33882209928

33882209928 is an abundant number, since it is smaller than the sum of its proper divisors (76620455037).

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

33882209928 is an equidigital number, since it uses as much as digits as its factorization.

33882209928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 33882209928 in words is "thirty-three billion, eight hundred eighty-two million, two hundred nine thousand, nine hundred twenty-eight".