2028748800 has 360 divisors, whose sum is σ = 7281089536. Its totient is φ = 495452160.

The previous prime is 2028748793. The next prime is 2028748801. The reversal of 2028748800 is 88478202.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2028748801) 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, 15974337 + ... + 15974463.

Almost surely, 2^2028748800 is an apocalyptic number.

2028748800 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 2028748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640544768).

2028748800 is an abundant number, since it is smaller than the sum of its proper divisors (5252340736).

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

2028748800 is a wasteful number, since it uses less digits than its factorization.

2028748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 2028748800 is about 45041.6340733770. The cubic root of 2028748800 is about 1265.9292229499.

The spelling of 2028748800 in words is "two billion, twenty-eight million, seven hundred forty-eight thousand, eight hundred".