4228326900 has 576 divisors, whose sum is σ = 16558940160. Its totient is φ = 904780800.

The previous prime is 4228326889. The next prime is 4228326901. The reversal of 4228326900 is 96238224.

It is a super-2 number, since 2×4228326900² = 35757496746527220000, which contains 22 as substring.

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 (4228326901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30863632 + ... + 30863768.

It is an arithmetic number, because the mean of its divisors is an integer number (28748160).

Almost surely, 2^4228326900 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 4228326900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279470080).

4228326900 is an abundant number, since it is smaller than the sum of its proper divisors (12330613260).

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

4228326900 is a wasteful number, since it uses less digits than its factorization.

4228326900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4228326900 is about 65025.5865025453. The cubic root of 4228326900 is about 1617.0477782668.

The spelling of 4228326900 in words is "four billion, two hundred twenty-eight million, three hundred twenty-six thousand, nine hundred".