58009280 has 224 divisors, whose sum is σ = 175564800. Its totient is φ = 17805312.

The previous prime is 58009271. The next prime is 58009313. The reversal of 58009280 is 8290085.

58009280 = T₉₅ + T₉₆ + ... + T₇₀₃.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×58009280² = 6730153132236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234217 + ... + 1234263.

Almost surely, 2^58009280 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 58009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87782400).

58009280 is an abundant number, since it is smaller than the sum of its proper divisors (117555520).

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

58009280 is a wasteful number, since it uses less digits than its factorization.

58009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 58009280 is about 7616.3823433439. The cubic root of 58009280 is about 387.1083076372.

The spelling of 58009280 in words is "fifty-eight million, nine thousand, two hundred eighty".