28830816 has 180 divisors, whose sum is σ = 99068508. Its totient is φ = 8201088.

The previous prime is 28830811. The next prime is 28830817. The reversal of 28830816 is 61803882.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28830811) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126895 + ... + 127121.

Almost surely, 2^28830816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28830816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49534254).

28830816 is an abundant number, since it is smaller than the sum of its proper divisors (70237692).

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

28830816 is a wasteful number, since it uses less digits than its factorization.

28830816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 28830816 is about 5369.4334896710. The cubic root of 28830816 is about 306.6330607997.

It can be divided in two parts, 28830 and 816, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 28830816 in words is "twenty-eight million, eight hundred thirty thousand, eight hundred sixteen".