33628945 has 24 divisors (see below), whose sum is σ = 47200104. Its totient is φ = 22934016.

The previous prime is 33628943. The next prime is 33628999. The reversal of 33628945 is 54982633.

It can be written as a sum of positive squares in 4 ways, for example, as 1002001 + 32626944 = 1001^2 + 5712^2 .

It is not a de Polignac number, because 33628945 - 2¹ = 33628943 is a prime.

It is a super-2 number, since 2×33628945² = 2261811883626050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33628898 and 33628907.

It is not an unprimeable number, because it can be changed into a prime (33628943) 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 23 ways as a sum of consecutive naturals, for example, 77449 + ... + 77881.

It is an arithmetic number, because the mean of its divisors is an integer number (1966671).

Almost surely, 2^33628945 is an apocalyptic number.

33628945 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33628945 is a deficient number, since it is larger than the sum of its proper divisors (13571159).

33628945 is a wasteful number, since it uses less digits than its factorization.

33628945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 33628945 is about 5799.0469044490. The cubic root of 33628945 is about 322.7783627135.

The spelling of 33628945 in words is "thirty-three million, six hundred twenty-eight thousand, nine hundred forty-five".