28638336 has 128 divisors (see below), whose sum is σ = 83280960. Its totient is φ = 8683520.

The previous prime is 28638317. The next prime is 28638359. The reversal of 28638336 is 63383682.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 28638294 and 28638303.

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, 267595 + ... + 267701.

Almost surely, 2^28638336 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 28638336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41640480).

28638336 is an abundant number, since it is smaller than the sum of its proper divisors (54642624).

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

28638336 is a wasteful number, since it uses less digits than its factorization.

28638336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 28638336 is about 5351.4797953463. The cubic root of 28638336 is about 305.9491564036.

The spelling of 28638336 in words is "twenty-eight million, six hundred thirty-eight thousand, three hundred thirty-six".