58038240 has 192 divisors, whose sum is σ = 201180672. Its totient is φ = 13977600.

The previous prime is 58038229. The next prime is 58038259. The reversal of 58038240 is 4283085.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 58038198 and 58038207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442975 + ... + 443105.

It is an arithmetic number, because the mean of its divisors is an integer number (1047816).

Almost surely, 2^58038240 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 58038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100590336).

58038240 is an abundant number, since it is smaller than the sum of its proper divisors (143142432).

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

58038240 is a wasteful number, since it uses less digits than its factorization.

58038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 58038240 is about 7618.2832711839. The cubic root of 58038240 is about 387.1727156741.

The spelling of 58038240 in words is "fifty-eight million, thirty-eight thousand, two hundred forty".