4388428800 has 528 divisors, whose sum is σ = 18438065920. Its totient is φ = 1001963520.

The previous prime is 4388428777. The next prime is 4388428801. The reversal of 4388428800 is 88248834.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4388428801) 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, 4837947 + ... + 4838853.

Almost surely, 2^4388428800 is an apocalyptic number.

4388428800 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 4388428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9219032960).

4388428800 is an abundant number, since it is smaller than the sum of its proper divisors (14049637120).

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

4388428800 is a wasteful number, since it uses less digits than its factorization.

4388428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4388428800 is about 66245.2171858467. The cubic root of 4388428800 is about 1637.2048361801.

The spelling of 4388428800 in words is "four billion, three hundred eighty-eight million, four hundred twenty-eight thousand, eight hundred".