28242816 has 192 divisors, whose sum is σ = 93024000. Its totient is φ = 7547904.

The previous prime is 28242791. The next prime is 28242859. The reversal of 28242816 is 61824282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357465 + ... + 357543.

It is an arithmetic number, because the mean of its divisors is an integer number (484500).

Almost surely, 2^28242816 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 28242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46512000).

28242816 is an abundant number, since it is smaller than the sum of its proper divisors (64781184).

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

28242816 is a wasteful number, since it uses less digits than its factorization.

28242816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 28242816 is about 5314.3970495250. The cubic root of 28242816 is about 304.5341486342.

The spelling of 28242816 in words is "twenty-eight million, two hundred forty-two thousand, eight hundred sixteen".