58213632 has 72 divisors (see below), whose sum is σ = 156079840. Its totient is φ = 19261440.

The previous prime is 58213619. The next prime is 58213633. The reversal of 58213632 is 23631285.

It is a self number, because there is not a number n which added to its sum of digits gives 58213632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58213633) 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, 175707 + ... + 176037.

Almost surely, 2^58213632 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 58213632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78039920).

58213632 is an abundant number, since it is smaller than the sum of its proper divisors (97866208).

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

58213632 is a wasteful number, since it uses less digits than its factorization.

58213632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 565 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 58213632 is about 7629.7858423418. The cubic root of 58213632 is about 387.5623364162.

It can be divided in two parts, 5821 and 3632, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 58213632 in words is "fifty-eight million, two hundred thirteen thousand, six hundred thirty-two".