2832193728 has 672 divisors, whose sum is σ = 10896721920. Its totient is φ = 714147840.

The previous prime is 2832193723. The next prime is 2832193787. The reversal of 2832193728 is 8273912382.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (290304) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832193723) 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, 34122775 + ... + 34122857.

It is an arithmetic number, because the mean of its divisors is an integer number (16215360).

Almost surely, 2^2832193728 is an apocalyptic number.

2832193728 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 2832193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448360960).

2832193728 is an abundant number, since it is smaller than the sum of its proper divisors (8064528192).

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

2832193728 is a wasteful number, since it uses less digits than its factorization.

2832193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2832193728 is about 53218.3589374945. The cubic root of 2832193728 is about 1414.8410511232.

The spelling of 2832193728 in words is "two billion, eight hundred thirty-two million, one hundred ninety-three thousand, seven hundred twenty-eight".