5633628 has 144 divisors (see below), whose sum is σ = 18232704. Its totient is φ = 1330560.

The previous prime is 5633623. The next prime is 5633651. The reversal of 5633628 is 8263365.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5633623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84051 + ... + 84117.

It is an arithmetic number, because the mean of its divisors is an integer number (126616).

Almost surely, 2^5633628 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 5633628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9116352).

5633628 is an abundant number, since it is smaller than the sum of its proper divisors (12599076).

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

5633628 is a wasteful number, since it uses less digits than its factorization.

5633628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 5633628 is about 2373.5264902672. The cubic root of 5633628 is about 177.9355487739.

The spelling of 5633628 in words is "five million, six hundred thirty-three thousand, six hundred twenty-eight".