7833228 has 48 divisors (see below), whose sum is σ = 19874400. Its totient is φ = 2386944.

The previous prime is 7833197. The next prime is 7833251. The reversal of 7833228 is 8223387.

It is a happy number.

7833228 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7833228² = 122718921799968, which contains 22 as substring.

Its product of digits (16128) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

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, 23076 + ... + 23412.

It is an arithmetic number, because the mean of its divisors is an integer number (414050).

Almost surely, 2^7833228 is an apocalyptic number.

7833228 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 7833228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9937200).

7833228 is an abundant number, since it is smaller than the sum of its proper divisors (12041172).

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

7833228 is a wasteful number, since it uses less digits than its factorization.

7833228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 504 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 7833228 is about 2798.7904530350. The cubic root of 7833228 is about 198.6004626534.

The spelling of 7833228 in words is "seven million, eight hundred thirty-three thousand, two hundred twenty-eight".