7288283520 has 960 divisors, whose sum is σ = 32090048640. Its totient is φ = 1517322240.

The previous prime is 7288283449. The next prime is 7288283531. The reversal of 7288283520 is 253828827.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 235105905 + ... + 235105935.

It is an arithmetic number, because the mean of its divisors is an integer number (33427134).

Almost surely, 2^7288283520 is an apocalyptic number.

7288283520 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 7288283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045024320).

7288283520 is an abundant number, since it is smaller than the sum of its proper divisors (24801765120).

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

7288283520 is a wasteful number, since it uses less digits than its factorization.

7288283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7288283520 is about 85371.4444061947. Note that the first 4 decimals coincide. The cubic root of 7288283520 is about 1938.8390262000.

The spelling of 7288283520 in words is "seven billion, two hundred eighty-eight million, two hundred eighty-three thousand, five hundred twenty".