276828 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 81664.

The previous prime is 276827. The next prime is 276833. The reversal of 276828 is 828672.

276828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

276828 is a modest number, since divided by 828 gives 276 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 276828.

It is not an unprimeable number, because it can be changed into a prime (276821) 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, 4663 + ... + 4721.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2²⁷⁶⁸²⁸ 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 276828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

276828 is an abundant number, since it is smaller than the sum of its proper divisors (448932).

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

276828 is a wasteful number, since it uses less digits than its factorization.

276828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 276828 is about 526.1444668530. The cubic root of 276828 is about 65.1733440160.

The spelling of 276828 in words is "two hundred seventy-six thousand, eight hundred twenty-eight".