230828416 has 192 divisors, whose sum is σ = 610470000. Its totient is φ = 85929984.

The previous prime is 230828413. The next prime is 230828443. The reversal of 230828416 is 614828032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230828413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1549110 + ... + 1549258.

Almost surely, 2^230828416 is an apocalyptic number.

230828416 is a gapful number since it is divisible by the number (26) 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 230828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305235000).

230828416 is an abundant number, since it is smaller than the sum of its proper divisors (379641584).

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

230828416 is a wasteful number, since it uses less digits than its factorization.

230828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 230828416 is about 15193.0384057963. The cubic root of 230828416 is about 613.4272865943.

The spelling of 230828416 in words is "two hundred thirty million, eight hundred twenty-eight thousand, four hundred sixteen".