230128290 has 192 divisors, whose sum is σ = 722082816. Its totient is φ = 51648192.

The previous prime is 230128273. The next prime is 230128313. The reversal of 230128290 is 92821032.

230128290 = 238² + 239² + ... + 889².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1411749 + ... + 1411911.

It is an arithmetic number, because the mean of its divisors is an integer number (3760848).

Almost surely, 2^230128290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230128290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361041408).

230128290 is an abundant number, since it is smaller than the sum of its proper divisors (491954526).

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

230128290 is a wasteful number, since it uses less digits than its factorization.

230128290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 230128290 is about 15169.9798945154. The cubic root of 230128290 is about 612.8064627688.

The spelling of 230128290 in words is "two hundred thirty million, one hundred twenty-eight thousand, two hundred ninety".