58338672 has 80 divisors (see below), whose sum is σ = 179750400. Its totient is φ = 15941376.

The previous prime is 58338671. The next prime is 58338673. The reversal of 58338672 is 27683385.

It is an interprime number because it is at equal distance from previous prime (58338671) and next prime (58338673).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 (58338671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3954 + ... + 11502.

It is an arithmetic number, because the mean of its divisors is an integer number (2246880).

Almost surely, 2^58338672 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 58338672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89875200).

58338672 is an abundant number, since it is smaller than the sum of its proper divisors (121411728).

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

58338672 is a wasteful number, since it uses less digits than its factorization.

58338672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590 (or 7584 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 58338672 is about 7637.9756480366. The cubic root of 58338672 is about 387.8396262141.

The spelling of 58338672 in words is "fifty-eight million, three hundred thirty-eight thousand, six hundred seventy-two".