4445984928 has 384 divisors, whose sum is σ = 15160836096. Its totient is φ = 1107532800.

The previous prime is 4445984923. The next prime is 4445984929. The reversal of 4445984928 is 8294895444.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4445984923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23277313 + ... + 23277503.

It is an arithmetic number, because the mean of its divisors is an integer number (39481344).

Almost surely, 2^4445984928 is an apocalyptic number.

4445984928 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 4445984928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7580418048).

4445984928 is an abundant number, since it is smaller than the sum of its proper divisors (10714851168).

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

4445984928 is a wasteful number, since it uses less digits than its factorization.

4445984928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 57.

The square root of 4445984928 is about 66678.2192923596. The cubic root of 4445984928 is about 1644.3313189014.

The spelling of 4445984928 in words is "four billion, four hundred forty-five million, nine hundred eighty-four thousand, nine hundred twenty-eight".