7288873800 has 192 divisors, whose sum is σ = 24412812480. Its totient is φ = 1788349440.

The previous prime is 7288873783. The next prime is 7288873829. The reversal of 7288873800 is 83788827.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2705254 + ... + 2707946.

It is an arithmetic number, because the mean of its divisors is an integer number (127150065).

Almost surely, 2^7288873800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7288873800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12206406240).

7288873800 is an abundant number, since it is smaller than the sum of its proper divisors (17123938680).

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

7288873800 is a wasteful number, since it uses less digits than its factorization.

7288873800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The square root of 7288873800 is about 85374.9014640720. The cubic root of 7288873800 is about 1938.8913671479.

The spelling of 7288873800 in words is "seven billion, two hundred eighty-eight million, eight hundred seventy-three thousand, eight hundred".