28656144 has 120 divisors (see below), whose sum is σ = 88982400. Its totient is φ = 8536320.

The previous prime is 28656143. The next prime is 28656149. The reversal of 28656144 is 44165682.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 28656099 and 28656108.

It is not an unprimeable number, because it can be changed into a prime (28656143) 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, 125022 + ... + 125250.

It is an arithmetic number, because the mean of its divisors is an integer number (741520).

Almost surely, 2^28656144 is an apocalyptic number.

28656144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28656144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44491200).

28656144 is an abundant number, since it is smaller than the sum of its proper divisors (60326256).

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

28656144 is a wasteful number, since it uses less digits than its factorization.

28656144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 28656144 is about 5353.1433756252. The cubic root of 28656144 is about 306.0125587566.

It can be divided in two parts, 2865 and 6144, that added together give a palindrome (9009).

The spelling of 28656144 in words is "twenty-eight million, six hundred fifty-six thousand, one hundred forty-four".