4601628 has 72 divisors (see below), whose sum is σ = 12606048. Its totient is φ = 1410048.

The previous prime is 4601621. The next prime is 4601677. The reversal of 4601628 is 8261064.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4601621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44625 + ... + 44727.

It is an arithmetic number, because the mean of its divisors is an integer number (175084).

Almost surely, 2^4601628 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 4601628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303024).

4601628 is an abundant number, since it is smaller than the sum of its proper divisors (8004420).

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

4601628 is a wasteful number, since it uses less digits than its factorization.

4601628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4601628 is about 2145.1405548355. The cubic root of 4601628 is about 166.3299673707.

The spelling of 4601628 in words is "four million, six hundred one thousand, six hundred twenty-eight".