58429800 has 288 divisors, whose sum is σ = 231547680. Its totient is φ = 13017600.

The previous prime is 58429781. The next prime is 58429831. The reversal of 58429800 is 892485.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 257287 + ... + 257513.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 2^58429800 is an apocalyptic number.

58429800 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 58429800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

58429800 is an abundant number, since it is smaller than the sum of its proper divisors (173117880).

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

58429800 is a wasteful number, since it uses less digits than its factorization.

58429800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 58429800 is about 7643.9387752650. The cubic root of 58429800 is about 388.0414629584.

The spelling of 58429800 in words is "fifty-eight million, four hundred twenty-nine thousand, eight hundred".