58085028 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 17149440.

The previous prime is 58085023. The next prime is 58085063. The reversal of 58085028 is 82058085.

58085028 is a `hidden beast` number, since 580 + 8 + 50 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 58084983 and 58085001.

It is not an unprimeable number, because it can be changed into a prime (58085021) 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, 984463 + ... + 984521.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^58085028 is an apocalyptic number.

58085028 is a gapful number since it is divisible by the number (58) 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 58085028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

58085028 is an abundant number, since it is smaller than the sum of its proper divisors (107025372).

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

58085028 is a wasteful number, since it uses less digits than its factorization.

58085028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 58085028 is about 7621.3534231132. The cubic root of 58085028 is about 387.2767285419.

The spelling of 58085028 in words is "fifty-eight million, eighty-five thousand, twenty-eight".