1563828400 has 60 divisors (see below), whose sum is σ = 3793674352. Its totient is φ = 619441920.

The previous prime is 1563828389. The next prime is 1563828401. The reversal of 1563828400 is 48283651.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1563828400.

It is not an unprimeable number, because it can be changed into a prime (1563828401) 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 11 ways as a sum of consecutive naturals, for example, 22222 + ... + 60178.

Almost surely, 2^1563828400 is an apocalyptic number.

1563828400 is a gapful number since it is divisible by the number (10) 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 1563828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896837176).

1563828400 is an abundant number, since it is smaller than the sum of its proper divisors (2229845952).

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

1563828400 is a wasteful number, since it uses less digits than its factorization.

1563828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38078 (or 38067 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 1563828400 is about 39545.2702608036. The cubic root of 1563828400 is about 1160.7259625402.

The spelling of 1563828400 in words is "one billion, five hundred sixty-three million, eight hundred twenty-eight thousand, four hundred".