7638228 has 72 divisors (see below), whose sum is σ = 21912800. Its totient is φ = 2223936.

The previous prime is 7638227. The next prime is 7638229. The reversal of 7638228 is 8228367.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7638227) and next prime (7638229).

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

Its product of digits (32256) is a multiple of the sum of its prime divisors (896).

It is a junction number, because it is equal to n+sod(n) for n = 7638192 and 7638201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638227) 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, 8463 + ... + 9321.

Almost surely, 2^7638228 is an apocalyptic number.

7638228 is a gapful number since it is divisible by the number (78) 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 7638228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10956400).

7638228 is an abundant number, since it is smaller than the sum of its proper divisors (14274572).

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

7638228 is a wasteful number, since it uses less digits than its factorization.

7638228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 896 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7638228 is about 2763.7344300783. The cubic root of 7638228 is about 196.9386119461.

The spelling of 7638228 in words is "seven million, six hundred thirty-eight thousand, two hundred twenty-eight".