58083000 has 128 divisors (see below), whose sum is σ = 190944000. Its totient is φ = 14659200.

The previous prime is 58082993. The next prime is 58083001. The reversal of 58083000 is 38085.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58083001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56491 + ... + 57509.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^58083000 is an apocalyptic number.

58083000 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 58083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95472000).

58083000 is an abundant number, since it is smaller than the sum of its proper divisors (132861000).

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

58083000 is a wasteful number, since it uses less digits than its factorization.

58083000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 58083000 is about 7621.2203747169. The cubic root of 58083000 is about 387.2722213199.

The spelling of 58083000 in words is "fifty-eight million, eighty-three thousand".