33628545 has 48 divisors (see below), whose sum is σ = 61298640. Its totient is φ = 17031168.

The previous prime is 33628541. The next prime is 33628559. The reversal of 33628545 is 54582633.

It is a happy number.

33628545 is a `hidden beast` number, since 336 + 285 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 173889 + 33454656 = 417^2 + 5784^2 .

It is not a de Polignac number, because 33628545 - 2² = 33628541 is a prime.

It is a super-2 number, since 2×33628545² = 2261758077634050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33628541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95089 + ... + 95441.

It is an arithmetic number, because the mean of its divisors is an integer number (1277055).

Almost surely, 2^33628545 is an apocalyptic number.

It is an amenable number.

33628545 is a deficient number, since it is larger than the sum of its proper divisors (27670095).

33628545 is a wasteful number, since it uses less digits than its factorization.

33628545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 463 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 33628545 is about 5799.0124159205. The cubic root of 33628545 is about 322.7770829444. Note that the first 3 decimals are identical.

Subtracting from 33628545 its product of digits (86400), we obtain a triangular number (33542145 = T₈₁₉₀).

The spelling of 33628545 in words is "thirty-three million, six hundred twenty-eight thousand, five hundred forty-five".