58029420 has 96 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 14494464.

The previous prime is 58029407. The next prime is 58029457. The reversal of 58029420 is 2492085.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 124027 + ... + 124493.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^58029420 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 58029420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

58029420 is an abundant number, since it is smaller than the sum of its proper divisors (114943380).

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

58029420 is a wasteful number, since it uses less digits than its factorization.

58029420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 58029420 is about 7617.7043786170. The cubic root of 58029420 is about 387.1531019600.

The spelling of 58029420 in words is "fifty-eight million, twenty-nine thousand, four hundred twenty".