3628 has 6 divisors (see below), whose sum is σ = 6356. Its totient is φ = 1812.

The previous prime is 3623. The next prime is 3631. The reversal of 3628 is 8263.

3628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 6 and base 15.

It is not an unprimeable number, because it can be changed into a prime (3623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450 + ... + 457.

2³⁶²⁸ is an apocalyptic number.

It is an amenable number.

3628 is a deficient number, since it is larger than the sum of its proper divisors (2728).

3628 is a wasteful number, since it uses less digits than its factorization.

3628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 3628 is about 60.2328813855. The cubic root of 3628 is about 15.3658206383.

Adding to 3628 its product of digits (288), we get a triangular number (3916 = T₈₈).

It can be divided in two parts, 36 and 28, that added together give a 6-th power (64 = 2⁶).

The spelling of 3628 in words is "three thousand, six hundred twenty-eight".