58128480 has 144 divisors (see below), whose sum is σ = 203911344. Its totient is φ = 15068160.

The previous prime is 58128461. The next prime is 58128493. The reversal of 58128480 is 8482185.

58128480 is a `hidden beast` number, since 58 + 128 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×58128480² = 6757840374220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52735 + ... + 53825.

It is an arithmetic number, because the mean of its divisors is an integer number (1416051).

Almost surely, 2^58128480 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 58128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101955672).

58128480 is an abundant number, since it is smaller than the sum of its proper divisors (145782864).

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

58128480 is a wasteful number, since it uses less digits than its factorization.

58128480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 58128480 is about 7624.2035649634. The cubic root of 58128480 is about 387.3732752455.

The spelling of 58128480 in words is "fifty-eight million, one hundred twenty-eight thousand, four hundred eighty".