224560728 has 160 divisors (see below), whose sum is σ = 729380400. Its totient is φ = 64012032.

The previous prime is 224560697. The next prime is 224560729. The reversal of 224560728 is 827065422.

224560728 is a `hidden beast` number, since 2 + 2 + 45 + 607 + 2 + 8 = 666.

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 = 224560692 and 224560701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224560729) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 518400 + ... + 518832.

Almost surely, 2^224560728 is an apocalyptic number.

224560728 is a gapful number since it is divisible by the number (28) 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 224560728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364690200).

224560728 is an abundant number, since it is smaller than the sum of its proper divisors (504819672).

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

224560728 is an equidigital number, since it uses as much as digits as its factorization.

224560728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 224560728 is about 14985.3504463526. The cubic root of 224560728 is about 607.8241282061.

The spelling of 224560728 in words is "two hundred twenty-four million, five hundred sixty thousand, seven hundred twenty-eight".