33628564 has 6 divisors (see below), whose sum is σ = 58849994. Its totient is φ = 16814280.

The previous prime is 33628559. The next prime is 33628619. The reversal of 33628564 is 46582633.

It can be written as a sum of positive squares in only one way, i.e., 32832900 + 795664 = 5730^2 + 892^2 .

It is a super-2 number, since 2×33628564² = 2261760633404192, which contains 22 as substring.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 4203567 + ... + 4203574.

Almost surely, 2^33628564 is an apocalyptic number.

It is an amenable number.

33628564 is a deficient number, since it is larger than the sum of its proper divisors (25221430).

33628564 is a wasteful number, since it uses less digits than its factorization.

33628564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407145 (or 8407143 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 33628564 is about 5799.0140541302. The cubic root of 33628564 is about 322.7771437337. Note that the first 3 decimals are identical.

It can be divided in two parts, 336 and 28564, that added together give a square (28900 = 170²).

The spelling of 33628564 in words is "thirty-three million, six hundred twenty-eight thousand, five hundred sixty-four".