4406348928 has 128 divisors (see below), whose sum is σ = 12173414400. Its totient is φ = 1410647040.

The previous prime is 4406348923. The next prime is 4406348953. The reversal of 4406348928 is 8298436044.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4406348923) 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 15 ways as a sum of consecutive naturals, for example, 1653325 + ... + 1655987.

It is an arithmetic number, because the mean of its divisors is an integer number (95104800).

Almost surely, 2^4406348928 is an apocalyptic number.

4406348928 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 4406348928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086707200).

4406348928 is an abundant number, since it is smaller than the sum of its proper divisors (7767065472).

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

4406348928 is a wasteful number, since it uses less digits than its factorization.

4406348928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 4406348928 is about 66380.3354013822. The cubic root of 4406348928 is about 1639.4303157157.

The spelling of 4406348928 in words is "four billion, four hundred six million, three hundred forty-eight thousand, nine hundred twenty-eight".