564421728 has 96 divisors (see below), whose sum is σ = 1600343136. Its totient is φ = 173150208.

The previous prime is 564421723. The next prime is 564421747. The reversal of 564421728 is 827124465.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564421721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769650 + ... + 770382.

It is an arithmetic number, because the mean of its divisors is an integer number (16670241).

Almost surely, 2^564421728 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 564421728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800171568).

564421728 is an abundant number, since it is smaller than the sum of its proper divisors (1035921408).

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

564421728 is a wasteful number, since it uses less digits than its factorization.

564421728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1368 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 564421728 is about 23757.5614910285. The cubic root of 564421728 is about 826.4208038640.

It can be divided in two parts, 5644 and 21728, that added together give a palindrome (27372).

The spelling of 564421728 in words is "five hundred sixty-four million, four hundred twenty-one thousand, seven hundred twenty-eight".