828664128 has 112 divisors (see below), whose sum is σ = 2445064960. Its totient is φ = 275208192.

The previous prime is 828664121. The next prime is 828664129. The reversal of 828664128 is 821466828.

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 (828664121) 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 15 ways as a sum of consecutive naturals, for example, 581625 + ... + 583047.

Almost surely, 2^828664128 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 828664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222532480).

828664128 is an abundant number, since it is smaller than the sum of its proper divisors (1616400832).

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

828664128 is a wasteful number, since it uses less digits than its factorization.

828664128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1765 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 828664128 is about 28786.5268485102. The cubic root of 828664128 is about 939.2751798905.

The spelling of 828664128 in words is "eight hundred twenty-eight million, six hundred sixty-four thousand, one hundred twenty-eight".