58049376 has 96 divisors (see below), whose sum is σ = 190003968. Its totient is φ = 15075840.

The previous prime is 58049347. The next prime is 58049377. The reversal of 58049376 is 67394085.

It is a happy number.

58049376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58049377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3466 + ... + 11318.

It is an arithmetic number, because the mean of its divisors is an integer number (1979208).

Almost surely, 2^58049376 is an apocalyptic number.

58049376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58049376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95001984).

58049376 is an abundant number, since it is smaller than the sum of its proper divisors (131954592).

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

58049376 is a wasteful number, since it uses less digits than its factorization.

58049376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7884 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 58049376 is about 7619.0141094501. The cubic root of 58049376 is about 387.1974768180.

The spelling of 58049376 in words is "fifty-eight million, forty-nine thousand, three hundred seventy-six".