8385885828 has 96 divisors (see below), whose sum is σ = 23208192000. Its totient is φ = 2610830880.

The previous prime is 8385885803. The next prime is 8385885829. The reversal of 8385885828 is 8285885838.

It is a super-2 number, since 2×8385885828² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8385885829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116913 + ... + 174471.

It is an arithmetic number, because the mean of its divisors is an integer number (241752000).

Almost surely, 2^8385885828 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 8385885828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604096000).

8385885828 is an abundant number, since it is smaller than the sum of its proper divisors (14822306172).

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

8385885828 is a wasteful number, since it uses less digits than its factorization.

8385885828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57662 (or 57654 counting only the distinct ones).

The product of its digits is 39321600, while the sum is 63.

The square root of 8385885828 is about 91574.4824063997. The cubic root of 8385885828 is about 2031.6535362267.

The spelling of 8385885828 in words is "eight billion, three hundred eighty-five million, eight hundred eighty-five thousand, eight hundred twenty-eight".