7953288 has 48 divisors (see below), whose sum is σ = 23132880. Its totient is φ = 2272032.

The previous prime is 7953271. The next prime is 7953289. The reversal of 7953288 is 8823597.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 7 + 9⁷ + 5⁵ + 3¹³ + 2²⁰ + 8⁶ + 8⁶ .

It is not an unprimeable number, because it can be changed into a prime (7953289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2206 + ... + 4557.

It is an arithmetic number, because the mean of its divisors is an integer number (481935).

Almost surely, 2^7953288 is an apocalyptic number.

It is an amenable number.

7953288 is an abundant number, since it is smaller than the sum of its proper divisors (15179592).

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

7953288 is a wasteful number, since it uses less digits than its factorization.

7953288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6786 (or 6775 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 7953288 is about 2820.1574424135. The cubic root of 7953288 is about 199.6099732233.

The spelling of 7953288 in words is "seven million, nine hundred fifty-three thousand, two hundred eighty-eight".