7828008 has 32 divisors (see below), whose sum is σ = 19894560. Its totient is φ = 2566080.

The previous prime is 7827983. The next prime is 7828033. The reversal of 7828008 is 8008287.

7828008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7827983) and next prime (7828033).

It is a super-2 number, since 2×7828008² = 122555418496128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7828008.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210 + ... + 4137.

It is an arithmetic number, because the mean of its divisors is an integer number (621705).

Almost surely, 2^7828008 is an apocalyptic number.

It is an amenable number.

7828008 is an abundant number, since it is smaller than the sum of its proper divisors (12066552).

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

7828008 is a wasteful number, since it uses less digits than its factorization.

7828008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 7828008 is about 2797.8577519238. The cubic root of 7828008 is about 198.5563376013.

The spelling of 7828008 in words is "seven million, eight hundred twenty-eight thousand, eight".