258274728 has 72 divisors (see below), whose sum is σ = 731336970. Its totient is φ = 82336320.

The previous prime is 258274661. The next prime is 258274769. The reversal of 258274728 is 827472852.

258274728 is a `hidden beast` number, since 2 + 582 + 7 + 47 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 226261764 + 32012964 = 15042^2 + 5658^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34698 + ... + 41478.

Almost surely, 2^258274728 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 258274728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365668485).

258274728 is an abundant number, since it is smaller than the sum of its proper divisors (473062242).

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

258274728 is a wasteful number, since it uses less digits than its factorization.

258274728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6839 (or 6809 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 258274728 is about 16070.9280379199. The cubic root of 258274728 is about 636.8355577752.

The spelling of 258274728 in words is "two hundred fifty-eight million, two hundred seventy-four thousand, seven hundred twenty-eight".