4580928 has 112 divisors (see below), whose sum is σ = 14752320. Its totient is φ = 1382400.

The previous prime is 4580923. The next prime is 4580941. The reversal of 4580928 is 8290854.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4580892 and 4580901.

It is not an unprimeable number, because it can be changed into a prime (4580923) 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, 18888 + ... + 19128.

Almost surely, 2^4580928 is an apocalyptic number.

4580928 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 4580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376160).

4580928 is an abundant number, since it is smaller than the sum of its proper divisors (10171392).

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

4580928 is a wasteful number, since it uses less digits than its factorization.

4580928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4580928 is about 2140.3102578832. The cubic root of 4580928 is about 166.0801857728.

The spelling of 4580928 in words is "four million, five hundred eighty thousand, nine hundred twenty-eight".