2033928000 has 672 divisors, whose sum is σ = 8177918112. Its totient is φ = 479232000.

The previous prime is 2033927977. The next prime is 2033928007. The reversal of 2033928000 is 8293302.

It can be written as a sum of positive squares in 16 ways, for example, as 1945868544 + 88059456 = 44112^2 + 9384^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033928007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38375974 + ... + 38376026.

It is an arithmetic number, because the mean of its divisors is an integer number (12169521).

Almost surely, 2^2033928000 is an apocalyptic number.

2033928000 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 2033928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088959056).

2033928000 is an abundant number, since it is smaller than the sum of its proper divisors (6143990112).

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

2033928000 is a wasteful number, since it uses less digits than its factorization.

2033928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2033928000 is about 45099.0908999283. The cubic root of 2033928000 is about 1267.0055725962.

The spelling of 2033928000 in words is "two billion, thirty-three million, nine hundred twenty-eight thousand".