58379200 has 168 divisors, whose sum is σ = 163275264. Its totient is φ = 20352000.

The previous prime is 58379161. The next prime is 58379213. The reversal of 58379200 is 297385.

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, 545547 + ... + 545653.

Almost surely, 2^58379200 is an apocalyptic number.

58379200 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 58379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81637632).

58379200 is an abundant number, since it is smaller than the sum of its proper divisors (104896064).

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

58379200 is a wasteful number, since it uses less digits than its factorization.

58379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 58379200 is about 7640.6282464206. The cubic root of 58379200 is about 387.9294164303.

The spelling of 58379200 in words is "fifty-eight million, three hundred seventy-nine thousand, two hundred".