4628448 has 96 divisors (see below), whose sum is σ = 14757120. Its totient is φ = 1399680.

The previous prime is 4628447. The next prime is 4628453. The reversal of 4628448 is 8448264.

4628448 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628447) 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, 9261 + ... + 9747.

It is an arithmetic number, because the mean of its divisors is an integer number (153720).

Almost surely, 2^4628448 is an apocalyptic number.

4628448 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 4628448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7378560).

4628448 is an abundant number, since it is smaller than the sum of its proper divisors (10128672).

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

4628448 is a wasteful number, since it uses less digits than its factorization.

4628448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 503 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 4628448 is about 2151.3828111240. The cubic root of 4628448 is about 166.6524859046.

The spelling of 4628448 in words is "four million, six hundred twenty-eight thousand, four hundred forty-eight".