58014432 has 108 divisors (see below), whose sum is σ = 191960496. Its totient is φ = 16571520.

The previous prime is 58014401. The next prime is 58014443. The reversal of 58014432 is 23441085.

It is a junction number, because it is equal to n+sod(n) for n = 58014396 and 58014405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12057 + ... + 16167.

It is an arithmetic number, because the mean of its divisors is an integer number (1777412).

Almost surely, 2^58014432 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 58014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95980248).

58014432 is an abundant number, since it is smaller than the sum of its proper divisors (133946064).

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

58014432 is a wasteful number, since it uses less digits than its factorization.

58014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 58014432 is about 7616.7205541493. The cubic root of 58014432 is about 387.1197674299.

The spelling of 58014432 in words is "fifty-eight million, fourteen thousand, four hundred thirty-two".