7148288 has 36 divisors (see below), whose sum is σ = 16311120. Its totient is φ = 3062784.

The previous prime is 7148287. The next prime is 7148291. The reversal of 7148288 is 8828417.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 7⁷ + 1 + 4¹¹ + 8 + 2²¹ + 8³ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (7148287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 203 + ... + 3786.

Almost surely, 2^7148288 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 7148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155560).

7148288 is an abundant number, since it is smaller than the sum of its proper divisors (9162832).

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

7148288 is an equidigital number, since it uses as much as digits as its factorization.

7148288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 3998 counting only the distinct ones).

The product of its digits is 28672, while the sum is 38.

The square root of 7148288 is about 2673.6282464097. The cubic root of 7148288 is about 192.6344751049.

The spelling of 7148288 in words is "seven million, one hundred forty-eight thousand, two hundred eighty-eight".