7822528 has 56 divisors (see below), whose sum is σ = 18694400. Its totient is φ = 3172608.

The previous prime is 7822519. The next prime is 7822531. The reversal of 7822528 is 8252287.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×7822528² = 122383888621568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7822493 and 7822502.

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, 8053 + ... + 8971.

Almost surely, 2^7822528 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 7822528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9347200).

7822528 is an abundant number, since it is smaller than the sum of its proper divisors (10871872).

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

7822528 is a wasteful number, since it uses less digits than its factorization.

7822528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 947 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 7822528 is about 2796.8782597746. The cubic root of 7822528 is about 198.5099936385.

The spelling of 7822528 in words is "seven million, eight hundred twenty-two thousand, five hundred twenty-eight".