2033728000 has 160 divisors (see below), whose sum is σ = 5196185280. Its totient is φ = 793497600.

The previous prime is 2033727991. The next prime is 2033728007. The reversal of 2033728000 is 8273302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2033728007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2751631 + ... + 2752369.

It is an arithmetic number, because the mean of its divisors is an integer number (32476158).

Almost surely, 2^2033728000 is an apocalyptic number.

2033728000 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 2033728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598092640).

2033728000 is an abundant number, since it is smaller than the sum of its proper divisors (3162457280).

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

2033728000 is an frugal number, since it uses more digits than its factorization.

2033728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 2033728000 is about 45096.8735058208. The cubic root of 2033728000 is about 1266.9640422141.

The spelling of 2033728000 in words is "two billion, thirty-three million, seven hundred twenty-eight thousand".