7932288 has 128 divisors (see below), whose sum is σ = 26046720. Its totient is φ = 2082816.

The previous prime is 7932277. The next prime is 7932289. The reversal of 7932288 is 8822397.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (48384) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7932289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34831 + ... + 35057.

It is an arithmetic number, because the mean of its divisors is an integer number (203490).

Almost surely, 2^7932288 is an apocalyptic number.

7932288 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7932288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13023360).

7932288 is an abundant number, since it is smaller than the sum of its proper divisors (18114432).

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

7932288 is a wasteful number, since it uses less digits than its factorization.

7932288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 7932288 is about 2816.4317850784. The cubic root of 7932288 is about 199.4341338206.

It can be divided in two parts, 793 and 2288, that added together give a triangular number (3081 = T₇₈).

The spelling of 7932288 in words is "seven million, nine hundred thirty-two thousand, two hundred eighty-eight".