828122640 has 80 divisors (see below), whose sum is σ = 2572603200. Its totient is φ = 220366336.

The previous prime is 828122639. The next prime is 828122651. The reversal of 828122640 is 46221828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 118771 + ... + 125549.

It is an arithmetic number, because the mean of its divisors is an integer number (32157540).

Almost surely, 2^828122640 is an apocalyptic number.

828122640 is a gapful number since it is divisible by the number (80) 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 828122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286301600).

828122640 is an abundant number, since it is smaller than the sum of its proper divisors (1744480560).

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

828122640 is a wasteful number, since it uses less digits than its factorization.

828122640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 828122640 is about 28777.1200782844. The cubic root of 828122640 is about 939.0705464956.

The spelling of 828122640 in words is "eight hundred twenty-eight million, one hundred twenty-two thousand, six hundred forty".