58268400 has 120 divisors (see below), whose sum is σ = 190047360. Its totient is φ = 15256320.

The previous prime is 58268347. The next prime is 58268449. The reversal of 58268400 is 486285.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70389 + ... + 71211.

It is an arithmetic number, because the mean of its divisors is an integer number (1583728).

Almost surely, 2^58268400 is an apocalyptic number.

58268400 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 58268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95023680).

58268400 is an abundant number, since it is smaller than the sum of its proper divisors (131778960).

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

58268400 is a wasteful number, since it uses less digits than its factorization.

58268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 58268400 is about 7633.3740901386. The cubic root of 58268400 is about 387.6838392340.

The spelling of 58268400 in words is "fifty-eight million, two hundred sixty-eight thousand, four hundred".