58259292 has 96 divisors (see below), whose sum is σ = 172806144. Its totient is φ = 14860800.

The previous prime is 58259291. The next prime is 58259293. The reversal of 58259292 is 29295285.

It is an interprime number because it is at equal distance from previous prime (58259291) and next prime (58259293).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58259291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32992 + ... + 34712.

It is an arithmetic number, because the mean of its divisors is an integer number (1800064).

Almost surely, 2^58259292 is an apocalyptic number.

58259292 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58259292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86403072).

58259292 is an abundant number, since it is smaller than the sum of its proper divisors (114546852).

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

58259292 is a wasteful number, since it uses less digits than its factorization.

58259292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1777 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 58259292 is about 7632.7774761223. Note that the first 3 decimals coincide. The cubic root of 58259292 is about 387.6636384138.

The spelling of 58259292 in words is "fifty-eight million, two hundred fifty-nine thousand, two hundred ninety-two".