20428800 has 288 divisors, whose sum is σ = 81244800. Its totient is φ = 4423680.

The previous prime is 20428799. The next prime is 20428801. The reversal of 20428800 is 882402.

It is an interprime number because it is at equal distance from previous prime (20428799) and next prime (20428801).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20428801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075191 + ... + 1075209.

It is an arithmetic number, because the mean of its divisors is an integer number (282100).

Almost surely, 2^20428800 is an apocalyptic number.

20428800 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 20428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

20428800 is an abundant number, since it is smaller than the sum of its proper divisors (60816000).

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

20428800 is a wasteful number, since it uses less digits than its factorization.

20428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 20428800 is about 4519.8230053842. The cubic root of 20428800 is about 273.3679644137.

The spelling of 20428800 in words is "twenty million, four hundred twenty-eight thousand, eight hundred".