33628527 has 12 divisors (see below), whose sum is σ = 50373960. Its totient is φ = 22418856.

The previous prime is 33628501. The next prime is 33628541. The reversal of 33628527 is 72582633.

33628527 is a `hidden beast` number, since 3 + 3 + 628 + 5 + 27 = 666.

It is not a de Polignac number, because 33628527 - 2¹² = 33624431 is a prime.

It is a super-2 number, since 2×33628527² = 2261755656379458, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33628491 and 33628500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33628327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68952 + ... + 69437.

It is an arithmetic number, because the mean of its divisors is an integer number (4197830).

Almost surely, 2^33628527 is an apocalyptic number.

33628527 is a deficient number, since it is larger than the sum of its proper divisors (16745433).

33628527 is an equidigital number, since it uses as much as digits as its factorization.

33628527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138404 (or 138392 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 33628527 is about 5799.0108639319. The cubic root of 33628527 is about 322.7770253545. Note that the first 3 decimals are identical.

The spelling of 33628527 in words is "thirty-three million, six hundred twenty-eight thousand, five hundred twenty-seven".