58429728 has 96 divisors (see below), whose sum is σ = 194785920. Its totient is φ = 16692480.

The previous prime is 58429687. The next prime is 58429741. The reversal of 58429728 is 82792485.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×58429728² = 6828066228307968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218 + ... + 10878.

It is an arithmetic number, because the mean of its divisors is an integer number (2029020).

Almost surely, 2^58429728 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 58429728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97392960).

58429728 is an abundant number, since it is smaller than the sum of its proper divisors (136356192).

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

58429728 is a wasteful number, since it uses less digits than its factorization.

58429728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9687 (or 9673 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 58429728 is about 7643.9340656497. The cubic root of 58429728 is about 388.0413035705.

The spelling of 58429728 in words is "fifty-eight million, four hundred twenty-nine thousand, seven hundred twenty-eight".