4828320 has 144 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 1101312.

The previous prime is 4828303. The next prime is 4828349. The reversal of 4828320 is 238284.

4828320 = T₃₅₆ + T₃₅₇ + ... + T₄₁₉.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9841 + ... + 10319.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 2^4828320 is an apocalyptic number.

4828320 is a gapful number since it is divisible by the number (40) 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 4828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

4828320 is an abundant number, since it is smaller than the sum of its proper divisors (14041440).

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

4828320 is a wasteful number, since it uses less digits than its factorization.

4828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4828320 is about 2197.3438511075. The cubic root of 4828320 is about 169.0176329302.

The spelling of 4828320 in words is "four million, eight hundred twenty-eight thousand, three hundred twenty".