4829328 has 80 divisors (see below), whose sum is σ = 15852160. Its totient is φ = 1378944.

The previous prime is 4829323. The next prime is 4829329. The reversal of 4829328 is 8239284.

4829328 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4829292 and 4829301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4829323) 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, 2226 + ... + 3822.

It is an arithmetic number, because the mean of its divisors is an integer number (198152).

Almost surely, 2^4829328 is an apocalyptic number.

4829328 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 4829328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926080).

4829328 is an abundant number, since it is smaller than the sum of its proper divisors (11022832).

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

4829328 is a wasteful number, since it uses less digits than its factorization.

4829328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1609 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4829328 is about 2197.5732069717. The cubic root of 4829328 is about 169.0293939512.

The spelling of 4829328 in words is "four million, eight hundred twenty-nine thousand, three hundred twenty-eight".