7828608 has 128 divisors (see below), whose sum is σ = 23256000. Its totient is φ = 2322432.

The previous prime is 7828607. The next prime is 7828621. The reversal of 7828608 is 8068287.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7828608² = 122574206435328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211566 + ... + 211602.

Almost surely, 2^7828608 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 7828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11628000).

7828608 is an abundant number, since it is smaller than the sum of its proper divisors (15427392).

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

7828608 is a wasteful number, since it uses less digits than its factorization.

7828608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 7828608 is about 2797.9649747629. The cubic root of 7828608 is about 198.5614104439.

The spelling of 7828608 in words is "seven million, eight hundred twenty-eight thousand, six hundred eight".