7951328 has 72 divisors (see below), whose sum is σ = 19908504. Its totient is φ = 3091200.

The previous prime is 7951327. The next prime is 7951331. The reversal of 7951328 is 8231597.

7951328 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

7951328 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7951327) 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, 17018 + ... + 17478.

It is an arithmetic number, because the mean of its divisors is an integer number (276507).

Almost surely, 2^7951328 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 7951328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9954252).

7951328 is an abundant number, since it is smaller than the sum of its proper divisors (11957176).

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

7951328 is a wasteful number, since it uses less digits than its factorization.

7951328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 7951328 is about 2819.8099226721. The cubic root of 7951328 is about 199.5935746516.

The spelling of 7951328 in words is "seven million, nine hundred fifty-one thousand, three hundred twenty-eight".