2153283328 has 72 divisors (see below), whose sum is σ = 4921297920. Its totient is φ = 921123840.

The previous prime is 2153283259. The next prime is 2153283367. The reversal of 2153283328 is 8233823512.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1631853 + ... + 1633171.

It is an arithmetic number, because the mean of its divisors is an integer number (68351360).

Almost surely, 2^2153283328 is an apocalyptic number.

2153283328 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 2153283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460648960).

2153283328 is an abundant number, since it is smaller than the sum of its proper divisors (2768014592).

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

2153283328 is an equidigital number, since it uses as much as digits as its factorization.

2153283328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2239 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 2153283328 is about 46403.4840071303. The cubic root of 2153283328 is about 1291.3195495495.

The spelling of 2153283328 in words is "two billion, one hundred fifty-three million, two hundred eighty-three thousand, three hundred twenty-eight".