2628 has 18 divisors (see below), whose sum is σ = 6734. Its totient is φ = 864.

The previous prime is 2621. The next prime is 2633. The reversal of 2628 is 8262.

It can be divided in two parts, 2 and 628, that added together give a triangular number (630 = T_{35}).

2628 is a nontrivial binomial coefficient, being equal to C(73, 2).

It can be written as a sum of positive squares in only one way, i.e., 2304 + 324 = 48^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a d-powerful number, because it can be written as **2**^{5} + **2**^{11} + **6**^{2} + **8**^{3} .

It is a nialpdrome in base 15 and base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 2628.

It is not an unprimeable number, because it can be changed into a prime (2621) by changing a digit.

2628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1 + ... + 72.

2^{2628} is an apocalyptic number.

2628 is the 72-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367).

2628 is an abundant number, since it is smaller than the sum of its proper divisors (4106).

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

2628 is a wasteful number, since it uses less digits than its factorization.

2628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 78 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2628 is about 51.2640224719. The cubic root of 2628 is about 13.7998739749.

The spelling of 2628 in words is "two thousand, six hundred twenty-eight".

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