58112628 has 72 divisors (see below), whose sum is σ = 164630592. Its totient is φ = 15878016.

The previous prime is 58112627. The next prime is 58112629. The reversal of 58112628 is 82621185.

It is an interprime number because it is at equal distance from previous prime (58112627) and next prime (58112629).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58112627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11376 + ... + 15672.

It is an arithmetic number, because the mean of its divisors is an integer number (2286536).

Almost surely, 2^58112628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58112628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82315296).

58112628 is an abundant number, since it is smaller than the sum of its proper divisors (106517964).

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

58112628 is a wasteful number, since it uses less digits than its factorization.

58112628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4332 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 58112628 is about 7623.1639100835. The cubic root of 58112628 is about 387.3380590059.

The spelling of 58112628 in words is "fifty-eight million, one hundred twelve thousand, six hundred twenty-eight".