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8820000000 = 28325772
BaseRepresentation
bin10000011011011011…
…01000010100000000
3211202200101102102200
420031231220110000
5121030410000000
64015111113200
7431365522500
oct101555502400
924680342380
108820000000
1138167295a9
121861972800
13aa73a9416
145d955ba00
153694c3500
hex20db68500

8820000000 has 648 divisors, whose sum is σ = 36977542056. Its totient is φ = 2016000000.

The previous prime is 8819999989. The next prime is 8820000001. The reversal of 8820000000 is 288.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 8725054464 + 94945536 = 93408^2 + 9744^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8820000001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1259999997 + ... + 1260000003.

Almost surely, 28820000000 is an apocalyptic number.

8820000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8820000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18488771028).

8820000000 is an abundant number, since it is smaller than the sum of its proper divisors (28157542056).

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

8820000000 is an frugal number, since it uses more digits than its factorization.

8820000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8820000000 is about 93914.8550549912. The cubic root of 8820000000 is about 2066.1231082930.

Adding to 8820000000 its reverse (288), we get a palindrome (8820000288).

The spelling of 8820000000 in words is "eight billion, eight hundred twenty million", and thus it is an aban number.