828628912 has 80 divisors (see below), whose sum is σ = 1811669760. Its totient is φ = 365181696.

The previous prime is 828628907. The next prime is 828628961. The reversal of 828628912 is 219826828.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257103 + ... + 260305.

It is an arithmetic number, because the mean of its divisors is an integer number (22645872).

Almost surely, 2^828628912 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 828628912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905834880).

828628912 is an abundant number, since it is smaller than the sum of its proper divisors (983040848).

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

828628912 is a wasteful number, since it uses less digits than its factorization.

828628912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3284 counting only the distinct ones).

The product of its digits is 221184, while the sum is 46.

The square root of 828628912 is about 28785.9151669701. The cubic root of 828628912 is about 939.2618741445.

The spelling of 828628912 in words is "eight hundred twenty-eight million, six hundred twenty-eight thousand, nine hundred twelve".