1628 has 12 divisors (see below), whose sum is σ = 3192. Its totient is φ = 720.

The previous prime is 1627. The next prime is 1637. The reversal of 1628 is 8261.

It is a nialpdrome in base 13 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26 + ... + 62.

It is an arithmetic number, because the mean of its divisors is an integer number (266).

2¹⁶²⁸ is an apocalyptic number.

It is an amenable number.

1628 is a deficient number, since it is larger than the sum of its proper divisors (1564).

1628 is a wasteful number, since it uses less digits than its factorization.

1628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 50 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 1628 is about 40.3484820037. The cubic root of 1628 is about 11.7639038669.

Adding to 1628 its reverse (8261), we get a palindrome (9889).

It can be divided in two parts, 162 and 8, that multiplied together give a 4-th power (1296 = 6⁴).

The spelling of 1628 in words is "one thousand, six hundred twenty-eight".