2033120628 has 384 divisors, whose sum is σ = 6909235200. Its totient is φ = 501811200.

The previous prime is 2033120623. The next prime is 2033120633. The reversal of 2033120628 is 8260213302.

2033120628 is a `hidden beast` number, since 2 + 0 + 3 + 31 + 2 + 0 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (2033120623) and next prime (2033120633).

It is a super-2 number, since 2×2033120628² = 8267158975998228768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033120623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22844008 + ... + 22844096.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^2033120628 is an apocalyptic number.

2033120628 is a gapful number since it is divisible by the number (28) 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 2033120628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454617600).

2033120628 is an abundant number, since it is smaller than the sum of its proper divisors (4876114572).

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

2033120628 is a wasteful number, since it uses less digits than its factorization.

2033120628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2033120628 is about 45090.1389219417. The cubic root of 2033120628 is about 1266.8379035659.

The spelling of 2033120628 in words is "two billion, thirty-three million, one hundred twenty thousand, six hundred twenty-eight".