2781828 has 108 divisors (see below), whose sum is σ = 8714160. Its totient is φ = 743904.

The previous prime is 2781817. The next prime is 2781853. The reversal of 2781828 is 8281872.

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

It is a junction number, because it is equal to n+sod(n) for n = 2781792 and 2781801.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33475 + ... + 33557.

2^2781828 is an apocalyptic number.

2781828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2781828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357080).

2781828 is an abundant number, since it is smaller than the sum of its proper divisors (5932332).

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

2781828 is a wasteful number, since it uses less digits than its factorization.

2781828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 2781828 is about 1667.8812907398. The cubic root of 2781828 is about 140.6403994988.

The spelling of 2781828 in words is "two million, seven hundred eighty-one thousand, eight hundred twenty-eight".