20028800 has 96 divisors (see below), whose sum is σ = 54070200. Its totient is φ = 7270400.

The previous prime is 20028773. The next prime is 20028809. The reversal of 20028800 is 882002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20028809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34916 + ... + 35484.

Almost surely, 2^20028800 is an apocalyptic number.

20028800 is a gapful number since it is divisible by the number (20) 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 20028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27035100).

20028800 is an abundant number, since it is smaller than the sum of its proper divisors (34041400).

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

20028800 is a wasteful number, since it uses less digits than its factorization.

20028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 20028800 is about 4475.3547345434. The cubic root of 20028800 is about 271.5719912149.

It can be divided in two parts, 200 and 28800, that multiplied together give a square (5760000 = 2400²).

The spelling of 20028800 in words is "twenty million, twenty-eight thousand, eight hundred".