2153752328 has 64 divisors (see below), whose sum is σ = 4992288000. Its totient is φ = 848247552.

The previous prime is 2153752297. The next prime is 2153752339. The reversal of 2153752328 is 8232573512.

It is a junction number, because it is equal to n+sod(n) for n = 2153752291 and 2153752300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160253 + ... + 173171.

It is an arithmetic number, because the mean of its divisors is an integer number (78004500).

Almost surely, 2^2153752328 is an apocalyptic number.

2153752328 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 2153752328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496144000).

2153752328 is an abundant number, since it is smaller than the sum of its proper divisors (2838535672).

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

2153752328 is a wasteful number, since it uses less digits than its factorization.

2153752328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13174 (or 13170 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 2153752328 is about 46408.5372318499. The cubic root of 2153752328 is about 1291.4132955196.

The spelling of 2153752328 in words is "two billion, one hundred fifty-three million, seven hundred fifty-two thousand, three hundred twenty-eight".