8238295728 has 240 divisors, whose sum is σ = 26958096000. Its totient is φ = 2401042176.

The previous prime is 8238295711. The next prime is 8238295757. The reversal of 8238295728 is 8275928328.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384183 + ... + 1390121.

It is an arithmetic number, because the mean of its divisors is an integer number (112325400).

Almost surely, 2^8238295728 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 8238295728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13479048000).

8238295728 is an abundant number, since it is smaller than the sum of its proper divisors (18719800272).

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

8238295728 is a wasteful number, since it uses less digits than its factorization.

8238295728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6001 (or 5976 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 8238295728 is about 90765.0578581868. The cubic root of 8238295728 is about 2019.6640071167.

The spelling of 8238295728 in words is "eight billion, two hundred thirty-eight million, two hundred ninety-five thousand, seven hundred twenty-eight".