561628000 has 48 divisors (see below), whose sum is σ = 1379929824. Its totient is φ = 224649600.

The previous prime is 561627991. The next prime is 561628009. The reversal of 561628000 is 826165.

It is an interprime number because it is at equal distance from previous prime (561627991) and next prime (561628009).

It is a self number, because there is not a number n which added to its sum of digits gives 561628000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561628009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66204 + ... + 74203.

It is an arithmetic number, because the mean of its divisors is an integer number (28748538).

Almost surely, 2^561628000 is an apocalyptic number.

561628000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

561628000 is an abundant number, since it is smaller than the sum of its proper divisors (818301824).

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

561628000 is a wasteful number, since it uses less digits than its factorization.

561628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140432 (or 140414 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 561628000 is about 23698.6919470253. The cubic root of 561628000 is about 825.0550315295.

The spelling of 561628000 in words is "five hundred sixty-one million, six hundred twenty-eight thousand".