253872128 has 48 divisors (see below), whose sum is σ = 512579340. Its totient is φ = 125698048.

The previous prime is 253872121. The next prime is 253872149. The reversal of 253872128 is 821278352.

It can be written as a sum of positive squares in 2 ways, for example, as 208282624 + 45589504 = 14432^2 + 6752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253872091 and 253872100.

It is not an unprimeable number, because it can be changed into a prime (253872121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 230876 + ... + 231972.

Almost surely, 2^253872128 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 253872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256289670).

253872128 is an abundant number, since it is smaller than the sum of its proper divisors (258707212).

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

253872128 is a wasteful number, since it uses less digits than its factorization.

253872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1212 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 253872128 is about 15933.3652440406. The cubic root of 253872128 is about 633.1962601475.

The spelling of 253872128 in words is "two hundred fifty-three million, eight hundred seventy-two thousand, one hundred twenty-eight".