828081280 has 64 divisors (see below), whose sum is σ = 2131932600. Its totient is φ = 305750016.

The previous prime is 828081227. The next prime is 828081299. The reversal of 828081280 is 82180828.

It can be written as a sum of positive squares in 4 ways, for example, as 293916736 + 534164544 = 17144^2 + 23112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41445 + ... + 58084.

Almost surely, 2^828081280 is an apocalyptic number.

828081280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828081280 is an abundant number, since it is smaller than the sum of its proper divisors (1303851320).

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

828081280 is a wasteful number, since it uses less digits than its factorization.

828081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99561 (or 99549 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 37.

The square root of 828081280 is about 28776.4014428490. The cubic root of 828081280 is about 939.0549124971.

The spelling of 828081280 in words is "eight hundred twenty-eight million, eighty-one thousand, two hundred eighty".