828629082 has 64 divisors (see below), whose sum is σ = 1893058560. Its totient is φ = 268540272.

The previous prime is 828629077. The next prime is 828629107. The reversal of 828629082 is 280926828.

828629082 is a `hidden beast` number, since 8 + 286 + 290 + 82 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412693 + ... + 414695.

It is an arithmetic number, because the mean of its divisors is an integer number (29579040).

Almost surely, 2^828629082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828629082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946529280).

828629082 is an abundant number, since it is smaller than the sum of its proper divisors (1064429478).

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

828629082 is a wasteful number, since it uses less digits than its factorization.

828629082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 828629082 is about 28785.9181198030. The cubic root of 828629082 is about 939.2619383769.

The spelling of 828629082 in words is "eight hundred twenty-eight million, six hundred twenty-nine thousand, eighty-two".