258728232 has 192 divisors, whose sum is σ = 798474240. Its totient is φ = 69552000.

The previous prime is 258728231. The next prime is 258728233. The reversal of 258728232 is 232827852.

It is an interprime number because it is at equal distance from previous prime (258728231) and next prime (258728233).

It is not an unprimeable number, because it can be changed into a prime (258728231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1713357 + ... + 1713507.

It is an arithmetic number, because the mean of its divisors is an integer number (4158720).

Almost surely, 2^258728232 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 258728232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399237120).

258728232 is an abundant number, since it is smaller than the sum of its proper divisors (539746008).

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

258728232 is a wasteful number, since it uses less digits than its factorization.

258728232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 258728232 is about 16085.0313024252. The cubic root of 258728232 is about 637.2080791867.

The spelling of 258728232 in words is "two hundred fifty-eight million, seven hundred twenty-eight thousand, two hundred thirty-two".