8828146000 has 40 divisors (see below), whose sum is σ = 21346461864. Its totient is φ = 3531257600.

The previous prime is 8828145961. The next prime is 8828146001. The reversal of 8828146000 is 6418288.

It can be written as a sum of positive squares in 4 ways, for example, as 362673936 + 8465472064 = 19044^2 + 92008^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8828146001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2205037 + ... + 2209036.

Almost surely, 2^8828146000 is an apocalyptic number.

8828146000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8828146000 is an abundant number, since it is smaller than the sum of its proper divisors (12518315864).

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

8828146000 is a wasteful number, since it uses less digits than its factorization.

8828146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414096 (or 4414080 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 8828146000 is about 93958.2141167019. The cubic root of 8828146000 is about 2066.7589911351.

The spelling of 8828146000 in words is "eight billion, eight hundred twenty-eight million, one hundred forty-six thousand".