253192128 has 224 divisors, whose sum is σ = 811499520. Its totient is φ = 68152320.

The previous prime is 253192117. The next prime is 253192201. The reversal of 253192128 is 821291352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2458125 + ... + 2458227.

Almost surely, 2^253192128 is an apocalyptic number.

253192128 is a gapful number since it is divisible by the number (28) 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 253192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405749760).

253192128 is an abundant number, since it is smaller than the sum of its proper divisors (558307392).

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

253192128 is a wasteful number, since it uses less digits than its factorization.

253192128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 253192128 is about 15912.0120663604. The cubic root of 253192128 is about 632.6304129948.

The spelling of 253192128 in words is "two hundred fifty-three million, one hundred ninety-two thousand, one hundred twenty-eight".