258253728 has 48 divisors (see below), whose sum is σ = 678767040. Its totient is φ = 85976576.

The previous prime is 258253717. The next prime is 258253763. The reversal of 258253728 is 827352852.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 258253728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122701 + ... + 124787.

It is an arithmetic number, because the mean of its divisors is an integer number (14140980).

Almost surely, 2^258253728 is an apocalyptic number.

It is an amenable number.

258253728 is an abundant number, since it is smaller than the sum of its proper divisors (420513312).

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

258253728 is a wasteful number, since it uses less digits than its factorization.

258253728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3381 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 258253728 is about 16070.2746709569. The cubic root of 258253728 is about 636.8182972024.

The spelling of 258253728 in words is "two hundred fifty-eight million, two hundred fifty-three thousand, seven hundred twenty-eight".