58890048 has 112 divisors (see below), whose sum is σ = 182392320. Its totient is φ = 16418304.

The previous prime is 58890047. The next prime is 58890053. The reversal of 58890048 is 84009885.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 58889991 and 58890009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58890043) 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, 57283 + ... + 58301.

Almost surely, 2^58890048 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 58890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91196160).

58890048 is an abundant number, since it is smaller than the sum of its proper divisors (123502272).

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

58890048 is a wasteful number, since it uses less digits than its factorization.

58890048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 58890048 is about 7673.9851446299. The cubic root of 58890048 is about 389.0576591485.

The spelling of 58890048 in words is "fifty-eight million, eight hundred ninety thousand, forty-eight".