4628880 has 80 divisors (see below), whose sum is σ = 15951360. Its totient is φ = 1233792.

The previous prime is 4628867. The next prime is 4628891. The reversal of 4628880 is 888264.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089 + ... + 3231.

It is an arithmetic number, because the mean of its divisors is an integer number (199392).

Almost surely, 2^4628880 is an apocalyptic number.

4628880 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 4628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7975680).

4628880 is an abundant number, since it is smaller than the sum of its proper divisors (11322480).

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

4628880 is a wasteful number, since it uses less digits than its factorization.

4628880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4628880 is about 2151.4832093233. The cubic root of 4628880 is about 166.6576706255.

The spelling of 4628880 in words is "four million, six hundred twenty-eight thousand, eight hundred eighty".