2673828 has 54 divisors (see below), whose sum is σ = 7207746. Its totient is φ = 835584.

The previous prime is 2673793. The next prime is 2673857. The reversal of 2673828 is 8283762.

It is a happy number.

2673828 is a nontrivial binomial coefficient, being equal to C(2313, 2).

It can be written as a sum of positive squares in 3 ways, for example, as 1937664 + 736164 = 1392^2 + 858^2 .

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

It is a d-powerful number, because it can be written as 2¹¹ + 6² + 7⁵ + 3⁶ + 8⁵ + 2¹⁹ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2673792 and 2673801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10276 + ... + 10532.

2^2673828 is an apocalyptic number.

2673828 is the 2312-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2673828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603873).

2673828 is an abundant number, since it is smaller than the sum of its proper divisors (4533918).

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

2673828 is a wasteful number, since it uses less digits than its factorization.

2673828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 279 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2673828 is about 1635.1843932719. The cubic root of 2673828 is about 138.7962786945.

It can be divided in two parts, 267 and 3828, that added together give a triangular number (4095 = T₉₀).

The spelling of 2673828 in words is "two million, six hundred seventy-three thousand, eight hundred twenty-eight".