7828864 has 32 divisors (see below), whose sum is σ = 16107840. Its totient is φ = 3786240.

The previous prime is 7828853. The next prime is 7828879. The reversal of 7828864 is 4688287.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×7828864² = 122582223060992, 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 7828864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2982 + ... + 4954.

It is an arithmetic number, because the mean of its divisors is an integer number (503370).

Almost surely, 2^7828864 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 7828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053920).

7828864 is an abundant number, since it is smaller than the sum of its proper divisors (8278976).

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

7828864 is a wasteful number, since it uses less digits than its factorization.

7828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2006 counting only the distinct ones).

The product of its digits is 172032, while the sum is 43.

The square root of 7828864 is about 2798.0107219237. The cubic root of 7828864 is about 198.5635747779.

The spelling of 7828864 in words is "seven million, eight hundred twenty-eight thousand, eight hundred sixty-four".