4628624 has 120 divisors (see below), whose sum is σ = 12790848. Its totient is φ = 1566720.

The previous prime is 4628621. The next prime is 4628627. The reversal of 4628624 is 4268264.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4628621) and next prime (4628627).

It is not an unprimeable number, because it can be changed into a prime (4628621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272264 + ... + 272280.

Almost surely, 2^4628624 is an apocalyptic number.

4628624 is a gapful number since it is divisible by the number (44) 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 4628624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395424).

4628624 is an abundant number, since it is smaller than the sum of its proper divisors (8162224).

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

4628624 is a wasteful number, since it uses less digits than its factorization.

4628624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 50 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 4628624 is about 2151.4237146597. The cubic root of 4628624 is about 166.6545982373.

The spelling of 4628624 in words is "four million, six hundred twenty-eight thousand, six hundred twenty-four".