8405228700 has 324 divisors, whose sum is σ = 29355100320. Its totient is φ = 2009779200.

The previous prime is 8405228693. The next prime is 8405228707. The reversal of 8405228700 is 78225048.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8405228693) and next prime (8405228707).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8405228707) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8602612 + ... + 8603588.

Almost surely, 2^8405228700 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 8405228700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14677550160).

8405228700 is an abundant number, since it is smaller than the sum of its proper divisors (20949871620).

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

8405228700 is a wasteful number, since it uses less digits than its factorization.

8405228700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8405228700 is about 91680.0343586323. The cubic root of 8405228700 is about 2033.2144064337.

The spelling of 8405228700 in words is "eight billion, four hundred five million, two hundred twenty-eight thousand, seven hundred".