28686336 has 192 divisors, whose sum is σ = 94348800. Its totient is φ = 7569408.

The previous prime is 28686271. The next prime is 28686367. The reversal of 28686336 is 63368682.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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

Its product of digits (248832) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989170 + ... + 989198.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^28686336 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 28686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

28686336 is an abundant number, since it is smaller than the sum of its proper divisors (65662464).

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

28686336 is a wasteful number, since it uses less digits than its factorization.

28686336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 28686336 is about 5355.9626585704. The cubic root of 28686336 is about 306.1199922422.

The spelling of 28686336 in words is "twenty-eight million, six hundred eighty-six thousand, three hundred thirty-six".