4928144 has 80 divisors (see below), whose sum is σ = 11457600. Its totient is φ = 2032128.

The previous prime is 4928123. The next prime is 4928149. The reversal of 4928144 is 4418294.

It is a self number, because there is not a number n which added to its sum of digits gives 4928144.

It is not an unprimeable number, because it can be changed into a prime (4928149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114587 + ... + 114629.

It is an arithmetic number, because the mean of its divisors is an integer number (143220).

Almost surely, 2^4928144 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 4928144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728800).

4928144 is an abundant number, since it is smaller than the sum of its proper divisors (6529456).

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

4928144 is a wasteful number, since it uses less digits than its factorization.

4928144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 4928144 is about 2219.9423415936. The cubic root of 4928144 is about 170.1744921161.

The spelling of 4928144 in words is "four million, nine hundred twenty-eight thousand, one hundred forty-four".