8274664728 has 128 divisors (see below), whose sum is σ = 26549856000. Its totient is φ = 2359964160.

The previous prime is 8274664721. The next prime is 8274664751.

It is a happy number.

8274664728 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8274664721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62038 + ... + 142821.

It is an arithmetic number, because the mean of its divisors is an integer number (207420750).

Almost surely, 2^8274664728 is an apocalyptic number.

8274664728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8274664728 is an abundant number, since it is smaller than the sum of its proper divisors (18275191272).

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

8274664728 is a wasteful number, since it uses less digits than its factorization.

8274664728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204902 (or 204892 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 8274664728 is about 90965.1841530594. The cubic root of 8274664728 is about 2022.6316652177.

The spelling of 8274664728 in words is "eight billion, two hundred seventy-four million, six hundred sixty-four thousand, seven hundred twenty-eight".