58973952 has 72 divisors (see below), whose sum is σ = 166226256. Its totient is φ = 18497536.

The previous prime is 58973951. The next prime is 58973977. The reversal of 58973952 is 25937985.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58973951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10798 + ... + 15314.

It is an arithmetic number, because the mean of its divisors is an integer number (2308698).

Almost surely, 2^58973952 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 58973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83113128).

58973952 is an abundant number, since it is smaller than the sum of its proper divisors (107252304).

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

58973952 is a wasteful number, since it uses less digits than its factorization.

58973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553 (or 4539 counting only the distinct ones).

The product of its digits is 680400, while the sum is 48.

The square root of 58973952 is about 7679.4499803046. The cubic root of 58973952 is about 389.2423423232.

The spelling of 58973952 in words is "fifty-eight million, nine hundred seventy-three thousand, nine hundred fifty-two".