7287888384 has 640 divisors, whose sum is σ = 26516160000. Its totient is φ = 1972518912.

The previous prime is 7287888379. The next prime is 7287888397. The reversal of 7287888384 is 4838887827.

It is a super-2 number, since 2×7287888384² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137507302 + ... + 137507354.

It is an arithmetic number, because the mean of its divisors is an integer number (41431500).

Almost surely, 2^7287888384 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 7287888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080000).

7287888384 is an abundant number, since it is smaller than the sum of its proper divisors (19228271616).

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

7287888384 is an equidigital number, since it uses as much as digits as its factorization.

7287888384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its digits is 38535168, while the sum is 63.

The square root of 7287888384 is about 85369.1301583892. The cubic root of 7287888384 is about 1938.8039873626.

The spelling of 7287888384 in words is "seven billion, two hundred eighty-seven million, eight hundred eighty-eight thousand, three hundred eighty-four".