152728618248 has 96 divisors (see below), whose sum is σ = 417710779200. Its totient is φ = 50408993664.

The previous prime is 152728618201. The next prime is 152728618277. The reversal of 152728618248 is 842816827251.

152728618248 is a `hidden beast` number, since 1 + 527 + 2 + 86 + 18 + 24 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 152728618194 and 152728618203.

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 23 ways as a sum of consecutive naturals, for example, 22361298 + ... + 22368126.

It is an arithmetic number, because the mean of its divisors is an integer number (4351153950).

Almost surely, 2^152728618248 is an apocalyptic number.

152728618248 is a gapful number since it is divisible by the number (18) 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 152728618248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208855389600).

152728618248 is an abundant number, since it is smaller than the sum of its proper divisors (264982160952).

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

152728618248 is a wasteful number, since it uses less digits than its factorization.

152728618248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9851 (or 9844 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 152728618248 in words is "one hundred fifty-two billion, seven hundred twenty-eight million, six hundred eighteen thousand, two hundred forty-eight".