8025828100 has 72 divisors (see below), whose sum is σ = 17873106048. Its totient is φ = 3126748800.

The previous prime is 8025828089. The next prime is 8025828113. The reversal of 8025828100 is 18285208.

It is a happy number.

It is a super-2 number, since 2×8025828100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987654 + ... + 995746.

It is an arithmetic number, because the mean of its divisors is an integer number (248237584).

Almost surely, 2^8025828100 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 8025828100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936553024).

8025828100 is an abundant number, since it is smaller than the sum of its proper divisors (9847277948).

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

8025828100 is a wasteful number, since it uses less digits than its factorization.

8025828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8365 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 8025828100 is about 89586.9862200978. The cubic root of 8025828100 is about 2002.1500295250.

The spelling of 8025828100 in words is "eight billion, twenty-five million, eight hundred twenty-eight thousand, one hundred".