28282644 has 72 divisors (see below), whose sum is σ = 77622272. Its totient is φ = 8631360.

The previous prime is 28282613. The next prime is 28282669. The reversal of 28282644 is 44628282.

It is a happy number.

28282644 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 2 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (49152) is a multiple of the sum of its prime divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 28282599 and 28282608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104229 + ... + 104499.

Almost surely, 2^28282644 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 28282644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38811136).

28282644 is an abundant number, since it is smaller than the sum of its proper divisors (49339628).

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

28282644 is a wasteful number, since it uses less digits than its factorization.

28282644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 512 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 28282644 is about 5318.1429089486. The cubic root of 28282644 is about 304.6772326797.

The spelling of 28282644 in words is "twenty-eight million, two hundred eighty-two thousand, six hundred forty-four".