58290912 has 72 divisors (see below), whose sum is σ = 171138240. Its totient is φ = 18800640.

The previous prime is 58290907. The next prime is 58290913. The reversal of 58290912 is 21909285.

It is a tau number, because it is divible by the number of its divisors (72).

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 (58290913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5664 + ... + 12192.

It is an arithmetic number, because the mean of its divisors is an integer number (2376920).

Almost surely, 2^58290912 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 58290912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85569120).

58290912 is an abundant number, since it is smaller than the sum of its proper divisors (112847328).

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

58290912 is a wasteful number, since it uses less digits than its factorization.

58290912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 58290912 is about 7634.8485250200. The cubic root of 58290912 is about 387.7337600308.

The spelling of 58290912 in words is "fifty-eight million, two hundred ninety thousand, nine hundred twelve".