276863328 has 216 divisors, whose sum is σ = 956814768. Its totient is φ = 75575808.

The previous prime is 276863311. The next prime is 276863329. The reversal of 276863328 is 823368672.

276863328 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 633 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276863329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324150 + ... + 325002.

It is an arithmetic number, because the mean of its divisors is an integer number (4429698).

Almost surely, 2^276863328 is an apocalyptic number.

276863328 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 276863328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478407384).

276863328 is an abundant number, since it is smaller than the sum of its proper divisors (679951440).

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

276863328 is a wasteful number, since it uses less digits than its factorization.

276863328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 888 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 276863328 is about 16639.2105581966. The cubic root of 276863328 is about 651.7611631016.

The spelling of 276863328 in words is "two hundred seventy-six million, eight hundred sixty-three thousand, three hundred twenty-eight".