538456128 has 112 divisors (see below), whose sum is σ = 1699077120. Its totient is φ = 147147264.

The previous prime is 538456123. The next prime is 538456129. The reversal of 538456128 is 821654835.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 538456128.

It is not an unprimeable number, because it can be changed into a prime (538456123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22203 + ... + 39621.

Almost surely, 2^538456128 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 538456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849538560).

538456128 is an abundant number, since it is smaller than the sum of its proper divisors (1160620992).

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

538456128 is a wasteful number, since it uses less digits than its factorization.

538456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17464 (or 17454 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 538456128 is about 23204.6574635352. The cubic root of 538456128 is about 813.5484861838.

The spelling of 538456128 in words is "five hundred thirty-eight million, four hundred fifty-six thousand, one hundred twenty-eight".