4432091328 has 336 divisors, whose sum is σ = 15266334720. Its totient is φ = 1202688000.

The previous prime is 4432091309. The next prime is 4432091351. The reversal of 4432091328 is 8231902344.

4432091328 is a `hidden beast` number, since 4 + 4 + 320 + 9 + 1 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 4432091292 and 4432091301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7374228 + ... + 7374828.

It is an arithmetic number, because the mean of its divisors is an integer number (45435520).

Almost surely, 2^4432091328 is an apocalyptic number.

4432091328 is a gapful number since it is divisible by the number (48) 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 4432091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633167360).

4432091328 is an abundant number, since it is smaller than the sum of its proper divisors (10834243392).

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

4432091328 is a wasteful number, since it uses less digits than its factorization.

4432091328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4432091328 is about 66573.9538258019. The cubic root of 4432091328 is about 1642.6166991721.

The spelling of 4432091328 in words is "four billion, four hundred thirty-two million, ninety-one thousand, three hundred twenty-eight".