258628000 has 192 divisors, whose sum is σ = 693463680. Its totient is φ = 94464000.

The previous prime is 258627997. The next prime is 258628043. The reversal of 258628000 is 826852.

258628000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115959 + ... + 3116041.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 2^258628000 is an apocalyptic number.

258628000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

258628000 is an abundant number, since it is smaller than the sum of its proper divisors (434835680).

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

258628000 is a wasteful number, since it uses less digits than its factorization.

258628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 258628000 is about 16081.9153088182. The cubic root of 258628000 is about 637.1257831946.

The spelling of 258628000 in words is "two hundred fifty-eight million, six hundred twenty-eight thousand".