58008352 has 48 divisors (see below), whose sum is σ = 125125560. Its totient is φ = 26349568.

The previous prime is 58008343. The next prime is 58008361. The reversal of 58008352 is 25380085.

It is an interprime number because it is at equal distance from previous prime (58008343) and next prime (58008361).

It can be written as a sum of positive squares in 4 ways, for example, as 57699216 + 309136 = 7596^2 + 556^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13938 + ... + 17614.

Almost surely, 2^58008352 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 58008352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62562780).

58008352 is an abundant number, since it is smaller than the sum of its proper divisors (67117208).

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

58008352 is a wasteful number, since it uses less digits than its factorization.

58008352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 58008352 is about 7616.3214217889. The cubic root of 58008352 is about 387.1062433789.

It can be divided in two parts, 5800 and 8352, that multiplied together give a square (48441600 = 6960²).

The spelling of 58008352 in words is "fifty-eight million, eight thousand, three hundred fifty-two".