58882880 has 112 divisors (see below), whose sum is σ = 162494976. Its totient is φ = 19906560.

The previous prime is 58882861. The next prime is 58882891. The reversal of 58882880 is 8828885.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 217145 + ... + 217415.

It is an arithmetic number, because the mean of its divisors is an integer number (1450848).

Almost surely, 2^58882880 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 58882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81247488).

58882880 is an abundant number, since it is smaller than the sum of its proper divisors (103612096).

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

58882880 is a wasteful number, since it uses less digits than its factorization.

58882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 47.

The square root of 58882880 is about 7673.5180979783. The cubic root of 58882880 is about 389.0418733547.

The spelling of 58882880 in words is "fifty-eight million, eight hundred eighty-two thousand, eight hundred eighty".