828081408 has 432 divisors, whose sum is σ = 2957749760. Its totient is φ = 200724480.

The previous prime is 828081403. The next prime is 828081431. The reversal of 828081408 is 804180828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828081403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12359391 + ... + 12359457.

Almost surely, 2^828081408 is an apocalyptic number.

828081408 is a gapful number since it is divisible by the number (88) 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 828081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478874880).

828081408 is an abundant number, since it is smaller than the sum of its proper divisors (2129668352).

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

828081408 is a wasteful number, since it uses less digits than its factorization.

828081408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 828081408 is about 28776.4036668935. The cubic root of 828081408 is about 939.0549608816.

The spelling of 828081408 in words is "eight hundred twenty-eight million, eighty-one thousand, four hundred eight".