58552000 has 112 divisors (see below), whose sum is σ = 156435552. Its totient is φ = 21580800.

The previous prime is 58551991. The next prime is 58552003. The reversal of 58552000 is 25585.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (58552003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103719 + ... + 104281.

It is an arithmetic number, because the mean of its divisors is an integer number (1396746).

Almost surely, 2^58552000 is an apocalyptic number.

58552000 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 58552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78217776).

58552000 is an abundant number, since it is smaller than the sum of its proper divisors (97883552).

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

58552000 is a wasteful number, since it uses less digits than its factorization.

58552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 58552000 is about 7651.9278616568. The cubic root of 58552000 is about 388.3117910445.

Adding to 58552000 its reverse (25585), we get a palindrome (58577585).

The spelling of 58552000 in words is "fifty-eight million, five hundred fifty-two thousand".