4228749000 has 576 divisors, whose sum is σ = 17089712640. Its totient is φ = 939859200.

The previous prime is 4228748983. The next prime is 4228749011. The reversal of 4228749000 is 9478224.

4228749000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18962889 + ... + 18963111.

It is an arithmetic number, because the mean of its divisors is an integer number (29669640).

Almost surely, 2^4228749000 is an apocalyptic number.

4228749000 is a gapful number since it is divisible by the number (40) 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 4228749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8544856320).

4228749000 is an abundant number, since it is smaller than the sum of its proper divisors (12860963640).

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

4228749000 is a wasteful number, since it uses less digits than its factorization.

4228749000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4228749000 is about 65028.8320670147. The cubic root of 4228749000 is about 1617.1015846677.

The spelling of 4228749000 in words is "four billion, two hundred twenty-eight million, seven hundred forty-nine thousand".