33138628 has 24 divisors (see below), whose sum is σ = 60238080. Its totient is φ = 15934560.

The previous prime is 33138617. The next prime is 33138629. The reversal of 33138628 is 82683133.

It is a junction number, because it is equal to n+sod(n) for n = 33138593 and 33138602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33138629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21450 + ... + 22942.

It is an arithmetic number, because the mean of its divisors is an integer number (2509920).

Almost surely, 2^33138628 is an apocalyptic number.

It is an amenable number.

33138628 is a deficient number, since it is larger than the sum of its proper divisors (27099452).

33138628 is a wasteful number, since it uses less digits than its factorization.

33138628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1705 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 33138628 is about 5756.6160198506. The cubic root of 33138628 is about 321.2019510569.

The spelling of 33138628 in words is "thirty-three million, one hundred thirty-eight thousand, six hundred twenty-eight".