258080328 has 96 divisors (see below), whose sum is σ = 783207360. Its totient is φ = 76083840.

The previous prime is 258080323. The next prime is 258080341. The reversal of 258080328 is 823080852.

258080328 is a `hidden beast` number, since 258 + 0 + 80 + 328 = 666.

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 = 258080292 and 258080301.

It is not an unprimeable number, because it can be changed into a prime (258080323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24901 + ... + 33707.

It is an arithmetic number, because the mean of its divisors is an integer number (8158410).

Almost surely, 2^258080328 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 258080328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391603680).

258080328 is an abundant number, since it is smaller than the sum of its proper divisors (525127032).

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

258080328 is a wasteful number, since it uses less digits than its factorization.

258080328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8867 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 258080328 is about 16064.8787110267. The cubic root of 258080328 is about 636.6757384135.

The spelling of 258080328 in words is "two hundred fifty-eight million, eighty thousand, three hundred twenty-eight".