8253577728 has 160 divisors (see below), whose sum is σ = 26652669120. Its totient is φ = 2501038080.

The previous prime is 8253577699. The next prime is 8253577793. The reversal of 8253577728 is 8277753528.

8253577728 is a `hidden beast` number, since 82 + 535 + 7 + 7 + 7 + 28 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124926 + ... + 179202.

It is an arithmetic number, because the mean of its divisors is an integer number (166579182).

Almost surely, 2^8253577728 is an apocalyptic number.

8253577728 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 8253577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13326334560).

8253577728 is an abundant number, since it is smaller than the sum of its proper divisors (18399091392).

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

8253577728 is a wasteful number, since it uses less digits than its factorization.

8253577728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54315 (or 54293 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The square root of 8253577728 is about 90849.2032326096. The cubic root of 8253577728 is about 2020.9120581503.

The spelling of 8253577728 in words is "eight billion, two hundred fifty-three million, five hundred seventy-seven thousand, seven hundred twenty-eight".