4928000 has 160 divisors (see below), whose sum is σ = 15320448. Its totient is φ = 1536000.

The previous prime is 4927933. The next prime is 4928029. The reversal of 4928000 is 8294.

4928000 = T₈₀ + T₈₁ + ... + T₃₁₀.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447995 + ... + 448005.

Almost surely, 2^4928000 is an apocalyptic number.

4928000 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 4928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660224).

4928000 is an abundant number, since it is smaller than the sum of its proper divisors (10392448).

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

4928000 is an equidigital number, since it uses as much as digits as its factorization.

4928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 4928000 is about 2219.9099080819. The cubic root of 4928000 is about 170.1728346046.

The spelling of 4928000 in words is "four million, nine hundred twenty-eight thousand".