7288008000 has 896 divisors, whose sum is σ = 30674681856. Its totient is φ = 1483776000.

The previous prime is 7288007989. The next prime is 7288008017. The reversal of 7288008000 is 8008827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102647965 + ... + 102648035.

It is an arithmetic number, because the mean of its divisors is an integer number (34235136).

Almost surely, 2^7288008000 is an apocalyptic number.

7288008000 is a gapful number since it is divisible by the number (70) 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 7288008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337340928).

7288008000 is an abundant number, since it is smaller than the sum of its proper divisors (23386673856).

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

7288008000 is a wasteful number, since it uses less digits than its factorization.

7288008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 7288008000 is about 85369.8307366250. The cubic root of 7288008000 is about 1938.8145944913.

The spelling of 7288008000 in words is "seven billion, two hundred eighty-eight million, eight thousand".