4628008 has 48 divisors (see below), whose sum is σ = 10916640. Its totient is φ = 1800480.

The previous prime is 4628003. The next prime is 4628017. The reversal of 4628008 is 8008264.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4628003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6435 + ... + 7117.

It is an arithmetic number, because the mean of its divisors is an integer number (227430).

Almost surely, 2^4628008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458320).

4628008 is an abundant number, since it is smaller than the sum of its proper divisors (6288632).

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

4628008 is a wasteful number, since it uses less digits than its factorization.

4628008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 4628008 is about 2151.2805488825. The cubic root of 4628008 is about 166.6472048386.

The spelling of 4628008 in words is "four million, six hundred twenty-eight thousand, eight".