828884628 has 144 divisors (see below), whose sum is σ = 2504174400. Its totient is φ = 227842560.

The previous prime is 828884611. The next prime is 828884663. The reversal of 828884628 is 826488828.

828884628 is a `hidden beast` number, since 8 + 2 + 8 + 8 + 8 + 4 + 628 = 666.

828884628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302368 + ... + 305096.

It is an arithmetic number, because the mean of its divisors is an integer number (17390100).

Almost surely, 2^828884628 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 828884628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252087200).

828884628 is an abundant number, since it is smaller than the sum of its proper divisors (1675289772).

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

828884628 is a wasteful number, since it uses less digits than its factorization.

828884628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2817 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 54.

The square root of 828884628 is about 28790.3565104707. The cubic root of 828884628 is about 939.3584833677.

The spelling of 828884628 in words is "eight hundred twenty-eight million, eight hundred eighty-four thousand, six hundred twenty-eight".