58238400 has 168 divisors, whose sum is σ = 208629504. Its totient is φ = 14105600.

The previous prime is 58238393. The next prime is 58238431. The reversal of 58238400 is 483285.

It is a super-2 number, since 2×58238400² = 6783422469120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 52249 + ... + 53351.

Almost surely, 2^58238400 is an apocalyptic number.

58238400 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 58238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104314752).

58238400 is an abundant number, since it is smaller than the sum of its proper divisors (150391104).

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

58238400 is a wasteful number, since it uses less digits than its factorization.

58238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 58238400 is about 7631.4087821319. The cubic root of 58238400 is about 387.6172936634.

The spelling of 58238400 in words is "fifty-eight million, two hundred thirty-eight thousand, four hundred".