4432428000 has 1536 divisors, whose sum is σ = 22190837760. Its totient is φ = 829440000.

The previous prime is 4432427971. The next prime is 4432428029. The reversal of 4432428000 is 8242344.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4432427971) and next prime (4432428029).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 108107980 + ... + 108108020.

It is an arithmetic number, because the mean of its divisors is an integer number (14447160).

Almost surely, 2^4432428000 is an apocalyptic number.

4432428000 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 4432428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095418880).

4432428000 is an abundant number, since it is smaller than the sum of its proper divisors (17758409760).

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

4432428000 is a wasteful number, since it uses less digits than its factorization.

4432428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4432428000 is about 66576.4823342297. The cubic root of 4432428000 is about 1642.6582904515.

The spelling of 4432428000 in words is "four billion, four hundred thirty-two million, four hundred twenty-eight thousand".