8228985600 has 432 divisors, whose sum is σ = 30293061120. Its totient is φ = 1950105600.

The previous prime is 8228985599. The next prime is 8228985601. The reversal of 8228985600 is 65898228.

It is an interprime number because it is at equal distance from previous prime (8228985599) and next prime (8228985601).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8228985600.

It is not an unprimeable number, because it can be changed into a prime (8228985601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9925986 + ... + 9926814.

Almost surely, 2^8228985600 is an apocalyptic number.

8228985600 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 8228985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15146530560).

8228985600 is an abundant number, since it is smaller than the sum of its proper divisors (22064075520).

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

8228985600 is a wasteful number, since it uses less digits than its factorization.

8228985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 8228985600 is about 90713.7563989057. The cubic root of 8228985600 is about 2018.9029104558.

The spelling of 8228985600 in words is "eight billion, two hundred twenty-eight million, nine hundred eighty-five thousand, six hundred".