19828800 has 294 divisors, whose sum is σ = 77456538. Its totient is φ = 4976640.

The previous prime is 19828777. The next prime is 19828801. The reversal of 19828800 is 882891.

It can be written as a sum of positive squares in 3 ways, for example, as 2985984 + 16842816 = 1728^2 + 4104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19828801) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1166392 + ... + 1166408.

Almost surely, 2^19828800 is an apocalyptic number.

19828800 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 19828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38728269).

19828800 is an abundant number, since it is smaller than the sum of its proper divisors (57627738).

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

19828800 is an equidigital number, since it uses as much as digits as its factorization.

19828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 19828800 is about 4452.9540756671. The cubic root of 19828800 is about 270.6650273169.

The spelling of 19828800 in words is "nineteen million, eight hundred twenty-eight thousand, eight hundred".