8278888728 has 192 divisors, whose sum is σ = 23477287680. Its totient is φ = 2429602560.

The previous prime is 8278888711. The next prime is 8278888729.

It is a happy number.

8278888728 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8278888729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20853426 + ... + 20853822.

It is an arithmetic number, because the mean of its divisors is an integer number (122277540).

Almost surely, 2^8278888728 is an apocalyptic number.

8278888728 is a gapful number since it is divisible by the number (88) 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 8278888728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11738643840).

8278888728 is an abundant number, since it is smaller than the sum of its proper divisors (15198398952).

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

8278888728 is a wasteful number, since it uses less digits than its factorization.

8278888728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 623 counting only the distinct ones).

The product of its digits is 51380224, while the sum is 66.

The square root of 8278888728 is about 90988.3988649102. The cubic root of 8278888728 is about 2022.9757735325.

The spelling of 8278888728 in words is "eight billion, two hundred seventy-eight million, eight hundred eighty-eight thousand, seven hundred twenty-eight".