7828828 has 36 divisors (see below), whose sum is σ = 16231320. Its totient is φ = 3293472.

The previous prime is 7828783. The next prime is 7828841. The reversal of 7828828 is 8288287.

It is a happy number.

It is a super-2 number, since 2×7828828² = 122581095707168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11226 + ... + 11902.

It is an arithmetic number, because the mean of its divisors is an integer number (450870).

Almost surely, 2^7828828 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 7828828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115660).

7828828 is an abundant number, since it is smaller than the sum of its proper divisors (8402492).

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

7828828 is a wasteful number, since it uses less digits than its factorization.

7828828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 745 counting only the distinct ones).

The product of its digits is 114688, while the sum is 43.

The square root of 7828828 is about 2798.0042887744. The cubic root of 7828828 is about 198.5632704213.

The spelling of 7828828 in words is "seven million, eight hundred twenty-eight thousand, eight hundred twenty-eight".