58000800 has 288 divisors, whose sum is σ = 223110720. Its totient is φ = 12979200.

The previous prime is 58000781. The next prime is 58000819. The reversal of 58000800 is 800085.

58000800 = T₃₈₉ + T₃₉₀ + ... + T₇₄₀.

It is an interprime number because it is at equal distance from previous prime (58000781) and next prime (58000819).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4461594 + ... + 4461606.

It is an arithmetic number, because the mean of its divisors is an integer number (774690).

Almost surely, 2^58000800 is an apocalyptic number.

58000800 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 58000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111555360).

58000800 is an abundant number, since it is smaller than the sum of its proper divisors (165109920).

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

58000800 is a wasteful number, since it uses less digits than its factorization.

58000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 58000800 is about 7615.8256282559. The cubic root of 58000800 is about 387.0894437680.

Adding to 58000800 its reverse (800085), we get a palindrome (58800885).

The spelling of 58000800 in words is "fifty-eight million, eight hundred", and thus it is an aban number.