828418104 has 80 divisors (see below), whose sum is σ = 2330329320. Its totient is φ = 276086880.

The previous prime is 828418093. The next prime is 828418111. The reversal of 828418104 is 401814828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 154834 + ... + 160094.

Almost surely, 2^828418104 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 828418104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165164660).

828418104 is an abundant number, since it is smaller than the sum of its proper divisors (1501911216).

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

828418104 is an frugal number, since it uses more digits than its factorization.

828418104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 828418104 is about 28782.2532821876. The cubic root of 828418104 is about 939.1822161666.

The spelling of 828418104 in words is "eight hundred twenty-eight million, four hundred eighteen thousand, one hundred four".