33985028 has 54 divisors (see below), whose sum is σ = 76098078. Its totient is φ = 13231680.

The previous prime is 33985027. The next prime is 33985033. The reversal of 33985028 is 82058933.

It can be written as a sum of positive squares in only one way, i.e., 32467204 + 1517824 = 5698^2 + 1232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33984982 and 33985000.

It is not an unprimeable number, because it can be changed into a prime (33985027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23000 + ... + 24432.

Almost surely, 2^33985028 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 33985028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38049039).

33985028 is an abundant number, since it is smaller than the sum of its proper divisors (42113050).

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

33985028 is a wasteful number, since it uses less digits than its factorization.

33985028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 33985028 is about 5829.6679150703. The cubic root of 33985028 is about 323.9136207266.

The spelling of 33985028 in words is "thirty-three million, nine hundred eighty-five thousand, twenty-eight".