7285956288 has 448 divisors, whose sum is σ = 23595909120. Its totient is φ = 1961164800.

The previous prime is 7285956283. The next prime is 7285956311. The reversal of 7285956288 is 8826595827.

It is not an unprimeable number, because it can be changed into a prime (7285956283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38146273 + ... + 38146463.

It is an arithmetic number, because the mean of its divisors is an integer number (52669440).

Almost surely, 2^7285956288 is an apocalyptic number.

7285956288 is a gapful number since it is divisible by the number (78) 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 7285956288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797954560).

7285956288 is an abundant number, since it is smaller than the sum of its proper divisors (16309952832).

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

7285956288 is a wasteful number, since it uses less digits than its factorization.

7285956288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 60.

The square root of 7285956288 is about 85357.8132803319. The cubic root of 7285956288 is about 1938.6326397646.

The spelling of 7285956288 in words is "seven billion, two hundred eighty-five million, nine hundred fifty-six thousand, two hundred eighty-eight".