2032345728 has 320 divisors, whose sum is σ = 7091219520. Its totient is φ = 565678080.

The previous prime is 2032345703. The next prime is 2032345729. The reversal of 2032345728 is 8275432302.

2032345728 is a `hidden beast` number, since 20 + 32 + 34 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2032345692 and 2032345701.

It is not an unprimeable number, because it can be changed into a prime (2032345729) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2975275 + ... + 2975957.

It is an arithmetic number, because the mean of its divisors is an integer number (22160061).

Almost surely, 2^2032345728 is an apocalyptic number.

2032345728 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 2032345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545609760).

2032345728 is an abundant number, since it is smaller than the sum of its proper divisors (5058873792).

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

2032345728 is an equidigital number, since it uses as much as digits as its factorization.

2032345728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2032345728 is about 45081.5453151287. The cubic root of 2032345728 is about 1266.6769363279.

The spelling of 2032345728 in words is "two billion, thirty-two million, three hundred forty-five thousand, seven hundred twenty-eight".