4288627200 has 720 divisors, whose sum is σ = 17006286528. Its totient is φ = 946176000.

The previous prime is 4288627193. The next prime is 4288627201. The reversal of 4288627200 is 27268824.

4288627200 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 (39).

It is not an unprimeable number, because it can be changed into a prime (4288627201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60403165 + ... + 60403235.

Almost surely, 2^4288627200 is an apocalyptic number.

4288627200 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 4288627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503143264).

4288627200 is an abundant number, since it is smaller than the sum of its proper divisors (12717659328).

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

4288627200 is a wasteful number, since it uses less digits than its factorization.

4288627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 4288627200 is about 65487.6110420895. The cubic root of 4288627200 is about 1624.6984466079.

The spelling of 4288627200 in words is "four billion, two hundred eighty-eight million, six hundred twenty-seven thousand, two hundred".