58535352 has 128 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 17376768.

The previous prime is 58535317. The next prime is 58535353. The reversal of 58535352 is 25353585.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58535353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69349 + ... + 70187.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 2^58535352 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 58535352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

58535352 is an abundant number, since it is smaller than the sum of its proper divisors (122904648).

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

58535352 is a wasteful number, since it uses less digits than its factorization.

58535352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 880 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 58535352 is about 7650.8399538874. The cubic root of 58535352 is about 388.2749848580.

It can be divided in two parts, 585 and 35352, that added together give a cube (35937 = 33³).

The spelling of 58535352 in words is "fifty-eight million, five hundred thirty-five thousand, three hundred fifty-two".