7916328 has 96 divisors (see below), whose sum is σ = 24897600. Its totient is φ = 2225664.

The previous prime is 7916323. The next prime is 7916341. The reversal of 7916328 is 8236197.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 7916292 and 7916301.

It is not an unprimeable number, because it can be changed into a prime (7916323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56883 + ... + 57021.

It is an arithmetic number, because the mean of its divisors is an integer number (259350).

Almost surely, 2^7916328 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 7916328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448800).

7916328 is an abundant number, since it is smaller than the sum of its proper divisors (16981272).

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

7916328 is a wasteful number, since it uses less digits than its factorization.

7916328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 264 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7916328 is about 2813.5969860661. The cubic root of 7916328 is about 199.3002882052.

The spelling of 7916328 in words is "seven million, nine hundred sixteen thousand, three hundred twenty-eight".