2763828 has 48 divisors (see below), whose sum is σ = 7255360. Its totient is φ = 909792.

The previous prime is 2763823. The next prime is 2763829. The reversal of 2763828 is 8283672.

It is a happy number.

2763828 is a `hidden beast` number, since 276 + 382 + 8 = 666.

It is a super-3 number, since 3×2763828³ = 63336533718508318656, which contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 2² + 7 + 6⁷ + 3¹⁰ + 8⁶ + 2¹⁶ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 2763792 and 2763801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2763823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16875 + ... + 17037.

2^2763828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2763828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627680).

2763828 is an abundant number, since it is smaller than the sum of its proper divisors (4491532).

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

2763828 is a wasteful number, since it uses less digits than its factorization.

2763828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

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

The square root of 2763828 is about 1662.4764659988. The cubic root of 2763828 is about 140.3364019066.

The spelling of 2763828 in words is "two million, seven hundred sixty-three thousand, eight hundred twenty-eight".