8128825600 has 405 divisors, whose sum is σ = 24536964473. Its totient is φ = 2665850880.

The previous prime is 8128825583. The next prime is 8128825603. The reversal of 8128825600 is 65288218.

It is a happy number.

The square root of 8128825600 is 90160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2926377216 + 5202448384 = 54096^2 + 72128^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8128825603) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 353427189 + ... + 353427211.

Almost surely, 2^8128825600 is an apocalyptic number.

8128825600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8128825600 is the 90160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8128825600

8128825600 is an abundant number, since it is smaller than the sum of its proper divisors (16408138873).

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

8128825600 is an frugal number, since it uses more digits than its factorization.

8128825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The cubic root of 8128825600 is about 2010.6783516017.

The spelling of 8128825600 in words is "eight billion, one hundred twenty-eight million, eight hundred twenty-five thousand, six hundred".