561028000 has 96 divisors (see below), whose sum is σ = 1484617680. Its totient is φ = 207129600.

The previous prime is 561027989. The next prime is 561028007. The reversal of 561028000 is 820165.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 853776 + 560174224 = 924^2 + 23668^2 .

It is not an unprimeable number, because it can be changed into a prime (561028007) 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, 46606 + ... + 57394.

Almost surely, 2^561028000 is an apocalyptic number.

561028000 is a gapful number since it is divisible by the number (50) 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 561028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742308840).

561028000 is an abundant number, since it is smaller than the sum of its proper divisors (923589680).

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

561028000 is a wasteful number, since it uses less digits than its factorization.

561028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10827 (or 10809 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 561028000 is about 23686.0296377422. The cubic root of 561028000 is about 824.7611184716.

Adding to 561028000 its reverse (820165), we get a palindrome (561848165).

The spelling of 561028000 in words is "five hundred sixty-one million, twenty-eight thousand".