28284672 has 72 divisors (see below), whose sum is σ = 81097744. Its totient is φ = 8699904.

The previous prime is 28284667. The next prime is 28284677. The reversal of 28284672 is 27648282.

It is an interprime number because it is at equal distance from previous prime (28284667) and next prime (28284677).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 28284672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28284677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8568 + ... + 11400.

Almost surely, 2^28284672 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 28284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40548872).

28284672 is an abundant number, since it is smaller than the sum of its proper divisors (52813072).

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

28284672 is a wasteful number, since it uses less digits than its factorization.

28284672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2851 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 28284672 is about 5318.3335735924. Note that the first 3 decimals coincide. The cubic root of 28284672 is about 304.6845147742.

The spelling of 28284672 in words is "twenty-eight million, two hundred eighty-four thousand, six hundred seventy-two".