58429952 has 120 divisors (see below), whose sum is σ = 144844524. Its totient is φ = 23396352.

The previous prime is 58429951. The next prime is 58429957. The reversal of 58429952 is 25992485.

It can be written as a sum of positive squares in 2 ways, for example, as 56310016 + 2119936 = 7504^2 + 1456^2 .

It is not an unprimeable number, because it can be changed into a prime (58429951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426428 + ... + 426564.

Almost surely, 2^58429952 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 58429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72422262).

58429952 is an abundant number, since it is smaller than the sum of its proper divisors (86414572).

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

58429952 is a wasteful number, since it uses less digits than its factorization.

58429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its digits is 259200, while the sum is 44.

The square root of 58429952 is about 7643.9487177767. The cubic root of 58429952 is about 388.0417994433.

The spelling of 58429952 in words is "fifty-eight million, four hundred twenty-nine thousand, nine hundred fifty-two".