58423200 has 144 divisors (see below), whose sum is σ = 207549216. Its totient is φ = 14156800.

The previous prime is 58423199. The next prime is 58423201. The reversal of 58423200 is 232485.

It is an interprime number because it is at equal distance from previous prime (58423199) and next prime (58423201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (58423201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25294 + ... + 27506.

It is an arithmetic number, because the mean of its divisors is an integer number (1441314).

Almost surely, 2^58423200 is an apocalyptic number.

58423200 is a gapful number since it is divisible by the number (50) 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 58423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103774608).

58423200 is an abundant number, since it is smaller than the sum of its proper divisors (149126016).

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

58423200 is a wasteful number, since it uses less digits than its factorization.

58423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 58423200 is about 7643.5070484693. The cubic root of 58423200 is about 388.0268518633.

Adding to 58423200 its reverse (232485), we get a palindrome (58655685).

The spelling of 58423200 in words is "fifty-eight million, four hundred twenty-three thousand, two hundred".