7288915248 has 140 divisors (see below), whose sum is σ = 21431675160. Its totient is φ = 2400046848.

The previous prime is 7288915247. The next prime is 7288915297. The reversal of 7288915248 is 8425198827.

7288915248 is a `hidden beast` number, since 7 + 28 + 8 + 91 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7288915194 and 7288915203.

It is not an unprimeable number, because it can be changed into a prime (7288915247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 964348 + ... + 971876.

It is an arithmetic number, because the mean of its divisors is an integer number (153083394).

Almost surely, 2^7288915248 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 7288915248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10715837580).

7288915248 is an abundant number, since it is smaller than the sum of its proper divisors (14142759912).

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

7288915248 is an equidigital number, since it uses as much as digits as its factorization.

7288915248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7617 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 7288915248 is about 85375.1442048563. The cubic root of 7288915248 is about 1938.8950422935.

The spelling of 7288915248 in words is "seven billion, two hundred eighty-eight million, nine hundred fifteen thousand, two hundred forty-eight".