33628772 has 12 divisors (see below), whose sum is σ = 59226300. Its totient is φ = 16706976.

The previous prime is 33628723. The next prime is 33628781. The reversal of 33628772 is 27782633.

It can be written as a sum of positive squares in 2 ways, for example, as 3444736 + 30184036 = 1856^2 + 5494^2 .

It is a super-2 number, since 2×33628772² = 2261788612455968, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 26147 + ... + 27402.

It is an arithmetic number, because the mean of its divisors is an integer number (4935525).

Almost surely, 2^33628772 is an apocalyptic number.

It is an amenable number.

33628772 is a deficient number, since it is larger than the sum of its proper divisors (25597528).

33628772 is a wasteful number, since it uses less digits than its factorization.

33628772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53710 (or 53708 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The square root of 33628772 is about 5799.0319881856. The cubic root of 33628772 is about 322.7778092146. Note that the first 3 decimals are identical.

The spelling of 33628772 in words is "thirty-three million, six hundred twenty-eight thousand, seven hundred seventy-two".