4192880328 has 512 divisors, whose sum is σ = 15375360000. Its totient is φ = 1027924992.

The previous prime is 4192880327. The next prime is 4192880333. The reversal of 4192880328 is 8230882914.

4192880328 is a `hidden beast` number, since 41 + 9 + 288 + 0 + 328 = 666.

It is not an unprimeable number, because it can be changed into a prime (4192880327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38466738 + ... + 38466846.

It is an arithmetic number, because the mean of its divisors is an integer number (30030000).

Almost surely, 2^4192880328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4192880328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687680000).

4192880328 is an abundant number, since it is smaller than the sum of its proper divisors (11182479672).

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

4192880328 is a wasteful number, since it uses less digits than its factorization.

4192880328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4192880328 is about 64752.4542237590. The cubic root of 4192880328 is about 1612.5164571603.

The spelling of 4192880328 in words is "four billion, one hundred ninety-two million, eight hundred eighty thousand, three hundred twenty-eight".