7948288 has 24 divisors (see below), whose sum is σ = 15896790. Its totient is φ = 3973120.

The previous prime is 7948279. The next prime is 7948309. The reversal of 7948288 is 8828497.

It can be written as a sum of positive squares in only one way, i.e., 6390784 + 1557504 = 2528^2 + 1248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108 + ... + 3988.

Almost surely, 2^7948288 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 7948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948395).

7948288 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

7948288 is an equidigital number, since it uses as much as digits as its factorization.

7948288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3883 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The square root of 7948288 is about 2819.2708277141. The cubic root of 7948288 is about 199.5681348001.

The spelling of 7948288 in words is "seven million, nine hundred forty-eight thousand, two hundred eighty-eight".