828384942 has 128 divisors (see below), whose sum is σ = 2263127040. Its totient is φ = 195471360.

The previous prime is 828384929. The next prime is 828384983. The reversal of 828384942 is 249483828.

It is a super-2 number, since 2×828384942² = 1372443224264686728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 828384891 and 828384900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225948 + ... + 229584.

It is an arithmetic number, because the mean of its divisors is an integer number (17680680).

Almost surely, 2^828384942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828384942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131563520).

828384942 is an abundant number, since it is smaller than the sum of its proper divisors (1434742098).

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

828384942 is a wasteful number, since it uses less digits than its factorization.

828384942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706.

The product of its digits is 884736, while the sum is 48.

The square root of 828384942 is about 28781.6771922694. The cubic root of 828384942 is about 939.1696840180.

The spelling of 828384942 in words is "eight hundred twenty-eight million, three hundred eighty-four thousand, nine hundred forty-two".