58002000 has 160 divisors (see below), whose sum is σ = 213867264. Its totient is φ = 13248000.

The previous prime is 58001971. The next prime is 58002013. The reversal of 58002000 is 20085.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 41310 + ... + 42690.

Almost surely, 2^58002000 is an apocalyptic number.

58002000 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 58002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106933632).

58002000 is an abundant number, since it is smaller than the sum of its proper divisors (155865264).

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

58002000 is a wasteful number, since it uses less digits than its factorization.

58002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 58002000 is about 7615.9044111648. The cubic root of 58002000 is about 387.0921132951.

Adding to 58002000 its reverse (20085), we get a palindrome (58022085).

The spelling of 58002000 in words is "fifty-eight million, two thousand".