58271400 has 288 divisors, whose sum is σ = 223423200. Its totient is φ = 13996800.

The previous prime is 58271383. The next prime is 58271419. The reversal of 58271400 is 417285.

58271400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 534546 + ... + 534654.

It is an arithmetic number, because the mean of its divisors is an integer number (775775).

Almost surely, 2^58271400 is an apocalyptic number.

58271400 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 58271400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111711600).

58271400 is an abundant number, since it is smaller than the sum of its proper divisors (165151800).

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

58271400 is a wasteful number, since it uses less digits than its factorization.

58271400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 58271400 is about 7633.5705931104. The cubic root of 58271400 is about 387.6904925347.

Adding to 58271400 its reverse (417285), we get a palindrome (58688685).

It can be divided in two parts, 5827 and 1400, that added together give a palindrome (7227).

The spelling of 58271400 in words is "fifty-eight million, two hundred seventy-one thousand, four hundred".