4928320 has 28 divisors (see below), whose sum is σ = 11736324. Its totient is φ = 1971200.

The previous prime is 4928299. The next prime is 4928321. The reversal of 4928320 is 238294.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 1149184 = 1944^2 + 1072^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4928321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7381 + ... + 8020.

Almost surely, 2^4928320 is an apocalyptic number.

4928320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4928320 is an abundant number, since it is smaller than the sum of its proper divisors (6808004).

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

4928320 is a wasteful number, since it uses less digits than its factorization.

4928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15418 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4928320 is about 2219.9819819089. The cubic root of 4928320 is about 170.1765179196.

The spelling of 4928320 in words is "four million, nine hundred twenty-eight thousand, three hundred twenty".