7286283648 has 192 divisors, whose sum is σ = 24736158720. Its totient is φ = 2014571520.

The previous prime is 7286283619. The next prime is 7286283677. The reversal of 7286283648 is 8463826827.

7286283648 is a `hidden beast` number, since 7 + 2 + 8 + 628 + 3 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7286283619) and next prime (7286283677).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7286283648² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 7286283594 and 7286283603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235411 + ... + 264557.

It is an arithmetic number, because the mean of its divisors is an integer number (128834160).

Almost surely, 2^7286283648 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 7286283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368079360).

7286283648 is an abundant number, since it is smaller than the sum of its proper divisors (17449875072).

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

7286283648 is a wasteful number, since it uses less digits than its factorization.

7286283648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29205 (or 29190 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 7286283648 is about 85359.7308336900. The cubic root of 7286283648 is about 1938.6616737605.

The spelling of 7286283648 in words is "seven billion, two hundred eighty-six million, two hundred eighty-three thousand, six hundred forty-eight".