7822128 has 40 divisors (see below), whose sum is σ = 20409408. Its totient is φ = 2581312.

The previous prime is 7822117. The next prime is 7822151. The reversal of 7822128 is 8212287.

It is a happy number.

It is a super-2 number, since 2×7822128² = 122371372896768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7822095 and 7822104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4375 + ... + 5897.

Almost surely, 2^7822128 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 7822128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10204704).

7822128 is an abundant number, since it is smaller than the sum of its proper divisors (12587280).

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

7822128 is a wasteful number, since it uses less digits than its factorization.

7822128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1635 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 7822128 is about 2796.8067505639. The cubic root of 7822128 is about 198.5066100200.

The spelling of 7822128 in words is "seven million, eight hundred twenty-two thousand, one hundred twenty-eight".