7828144 has 20 divisors (see below), whose sum is σ = 15690960. Its totient is φ = 3778880.

The previous prime is 7828141. The next prime is 7828147. The reversal of 7828144 is 4418287.

It is an interprime number because it is at equal distance from previous prime (7828141) and next prime (7828147).

It is a super-2 number, since 2×7828144² = 122559676969472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828141) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7972 + ... + 8899.

It is an arithmetic number, because the mean of its divisors is an integer number (784548).

Almost surely, 2^7828144 is an apocalyptic number.

It is an amenable number.

7828144 is an abundant number, since it is smaller than the sum of its proper divisors (7862816).

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

7828144 is a wasteful number, since it uses less digits than its factorization.

7828144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16908 (or 16902 counting only the distinct ones).

The product of its digits is 14336, while the sum is 34.

The square root of 7828144 is about 2797.8820561275. The cubic root of 7828144 is about 198.5574874683.

The spelling of 7828144 in words is "seven million, eight hundred twenty-eight thousand, one hundred forty-four".