58320000 has 280 divisors, whose sum is σ = 217676415. Its totient is φ = 15552000.

The previous prime is 58319993. The next prime is 58320011. The reversal of 58320000 is 2385.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 13483584 + 44836416 = 3672^2 + 6696^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5400.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 11663998 + ... + 11664002.

Almost surely, 2^58320000 is an apocalyptic number.

58320000 is a gapful number since it is divisible by the number (50) 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 58320000

58320000 is an abundant number, since it is smaller than the sum of its proper divisors (159356415).

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

58320000 is an frugal number, since it uses more digits than its factorization.

58320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 58320000 is about 7636.7532368147. The cubic root of 58320000 is about 387.7982442057.

Multiplying 58320000 by its sum of digits (18), we get a 4-th power (1049760000 = 180⁴).

58320000 divided by its sum of digits (18) gives a square (3240000 = 1800²).

Adding to 58320000 its reverse (2385), we get a palindrome (58322385).

The spelling of 58320000 in words is "fifty-eight million, three hundred twenty thousand".