28736208 has 120 divisors (see below), whose sum is σ = 88015200. Its totient is φ = 9051264.

The previous prime is 28736179. The next prime is 28736209. The reversal of 28736208 is 80263782.

It is a happy number.

28736208 is a `hidden beast` number, since 28 + 7 + 3 + 620 + 8 = 666.

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 (28736209) 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, 73678 + ... + 74066.

It is an arithmetic number, because the mean of its divisors is an integer number (733460).

Almost surely, 2^28736208 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 28736208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44007600).

28736208 is an abundant number, since it is smaller than the sum of its proper divisors (59278992).

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

28736208 is a wasteful number, since it uses less digits than its factorization.

28736208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28736208 is about 5360.6163824695. The cubic root of 28736208 is about 306.2972889353.

The spelling of 28736208 in words is "twenty-eight million, seven hundred thirty-six thousand, two hundred eight".