258442128 has 60 divisors (see below), whose sum is σ = 826607808. Its totient is φ = 73840320.

The previous prime is 258442127. The next prime is 258442193. The reversal of 258442128 is 821244852.

258442128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 258442092 and 258442101.

It is not an unprimeable number, because it can be changed into a prime (258442127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127188 + ... + 129203.

Almost surely, 2^258442128 is an apocalyptic number.

258442128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

258442128 is an abundant number, since it is smaller than the sum of its proper divisors (568165680).

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

258442128 is a wasteful number, since it uses less digits than its factorization.

258442128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256412 (or 256403 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 258442128 is about 16076.1353564842. The cubic root of 258442128 is about 636.9731157537.

It can be divided in two parts, 25844 and 2128, that added together give a palindrome (27972).

The spelling of 258442128 in words is "two hundred fifty-eight million, four hundred forty-two thousand, one hundred twenty-eight".