33628536 has 24 divisors (see below), whose sum is σ = 91077480. Its totient is φ = 11209488.

The previous prime is 33628501. The next prime is 33628541. The reversal of 33628536 is 63582633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33628536² = 2261756867006592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33628536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 233460 + ... + 233603.

It is an arithmetic number, because the mean of its divisors is an integer number (3794895).

Almost surely, 2^33628536 is an apocalyptic number.

33628536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33628536 is an abundant number, since it is smaller than the sum of its proper divisors (57448944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33628536 is a wasteful number, since it uses less digits than its factorization.

33628536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467075 (or 467068 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 33628536 is about 5799.0116399262. The cubic root of 33628536 is about 322.7770541495. Note that the first 3 decimals are identical.

The spelling of 33628536 in words is "thirty-three million, six hundred twenty-eight thousand, five hundred thirty-six".