33407028 has 18 divisors (see below), whose sum is σ = 84445634. Its totient is φ = 11135664.

The previous prime is 33407027. The next prime is 33407029. The reversal of 33407028 is 82070433.

It is an interprime number because it is at equal distance from previous prime (33407027) and next prime (33407029).

It can be written as a sum of positive squares in only one way, i.e., 30935844 + 2471184 = 5562^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×33407028² = 2232059039585568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33406992 and 33407010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33407027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 463951 + ... + 464022.

Almost surely, 2^33407028 is an apocalyptic number.

It is an amenable number.

33407028 is an abundant number, since it is smaller than the sum of its proper divisors (51038606).

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

33407028 is a wasteful number, since it uses less digits than its factorization.

33407028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927983 (or 927978 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 33407028 is about 5779.8813136603. The cubic root of 33407028 is about 322.0667916948.

The spelling of 33407028 in words is "thirty-three million, four hundred seven thousand, twenty-eight".