58289040 has 120 divisors (see below), whose sum is σ = 198614520. Its totient is φ = 15316992.

The previous prime is 58289027. The next prime is 58289041. The reversal of 58289040 is 4098285.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 58247424 = 204^2 + 7632^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×58289040² = 6795224368243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 58288986 and 58289004.

It is not an unprimeable number, because it can be changed into a prime (58289041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52006 + ... + 53114.

It is an arithmetic number, because the mean of its divisors is an integer number (1655121).

Almost surely, 2^58289040 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 58289040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99307260).

58289040 is an abundant number, since it is smaller than the sum of its proper divisors (140325480).

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

58289040 is a wasteful number, since it uses less digits than its factorization.

58289040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 58289040 is about 7634.7259282832. The cubic root of 58289040 is about 387.7296093245.

The spelling of 58289040 in words is "fifty-eight million, two hundred eighty-nine thousand, forty".