7238282688 has 448 divisors, whose sum is σ = 26436157440. Its totient is φ = 1891123200.

The previous prime is 7238282641. The next prime is 7238282699. The reversal of 7238282688 is 8862828327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

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, 30034248 + ... + 30034488.

It is an arithmetic number, because the mean of its divisors is an integer number (59009280).

Almost surely, 2^7238282688 is an apocalyptic number.

7238282688 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 7238282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218078720).

7238282688 is an abundant number, since it is smaller than the sum of its proper divisors (19197874752).

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

7238282688 is a wasteful number, since it uses less digits than its factorization.

7238282688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 7238282688 is about 85078.0975809873. The cubic root of 7238282688 is about 1934.3950852353.

The spelling of 7238282688 in words is "seven billion, two hundred thirty-eight million, two hundred eighty-two thousand, six hundred eighty-eight".