58256000 has 128 divisors (see below), whose sum is σ = 158483520. Its totient is φ = 21120000.

The previous prime is 58255999. The next prime is 58256017. The reversal of 58256000 is 65285.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175835 + ... + 176165.

Almost surely, 2^58256000 is an apocalyptic number.

58256000 is a gapful number since it is divisible by the number (50) 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 58256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79241760).

58256000 is an abundant number, since it is smaller than the sum of its proper divisors (100227520).

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

58256000 is a wasteful number, since it uses less digits than its factorization.

58256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 58256000 is about 7632.5618241846. The cubic root of 58256000 is about 387.6563365015.

The spelling of 58256000 in words is "fifty-eight million, two hundred fifty-six thousand".