58838880 has 96 divisors (see below), whose sum is σ = 190409184. Its totient is φ = 15261696.

The previous prime is 58838869. The next prime is 58838881. The reversal of 58838880 is 8883885.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58838881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16104 + ... + 19416.

It is an arithmetic number, because the mean of its divisors is an integer number (1983429).

Almost surely, 2^58838880 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 58838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95204592).

58838880 is an abundant number, since it is smaller than the sum of its proper divisors (131570304).

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

58838880 is a wasteful number, since it uses less digits than its factorization.

58838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The square root of 58838880 is about 7670.6505591117. The cubic root of 58838880 is about 388.9449458723.

The spelling of 58838880 in words is "fifty-eight million, eight hundred thirty-eight thousand, eight hundred eighty".