58349088 has 144 divisors (see below), whose sum is σ = 192157056. Its totient is φ = 16450560.

The previous prime is 58349077. The next prime is 58349113. The reversal of 58349088 is 88094385.

58349088 is a `hidden beast` number, since 5 + 83 + 490 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207508 + ... + 207788.

It is an arithmetic number, because the mean of its divisors is an integer number (1334424).

Almost surely, 2^58349088 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 58349088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96078528).

58349088 is an abundant number, since it is smaller than the sum of its proper divisors (133807968).

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

58349088 is a wasteful number, since it uses less digits than its factorization.

58349088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 58349088 is about 7638.6574736664. The cubic root of 58349088 is about 387.8627069426.

The spelling of 58349088 in words is "fifty-eight million, three hundred forty-nine thousand, eighty-eight".