33628406 has 40 divisors (see below), whose sum is σ = 60501600. Its totient is φ = 14010864.

The previous prime is 33628403. The next prime is 33628433. The reversal of 33628406 is 60482633.

33628406 = 2898² + 2899² + ... + 2901².

It is a super-2 number, since 2×33628406² = 2261739380201672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33628403) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 225620 + ... + 225768.

It is an arithmetic number, because the mean of its divisors is an integer number (1512540).

Almost surely, 2^33628406 is an apocalyptic number.

33628406 is a deficient number, since it is larger than the sum of its proper divisors (26873194).

33628406 is an equidigital number, since it uses as much as digits as its factorization.

33628406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 33628406 is about 5799.0004311088. Note that the first 3 decimals coincide. The cubic root of 33628406 is about 322.7766382222.

The spelling of 33628406 in words is "thirty-three million, six hundred twenty-eight thousand, four hundred six".