7871328 has 72 divisors (see below), whose sum is σ = 22656816. Its totient is φ = 2592000.

The previous prime is 7871317. The next prime is 7871329. The reversal of 7871328 is 8231787.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 7871292 and 7871301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7871329) 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, 43398 + ... + 43578.

It is an arithmetic number, because the mean of its divisors is an integer number (314678).

Almost surely, 2^7871328 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 7871328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328408).

7871328 is an abundant number, since it is smaller than the sum of its proper divisors (14785488).

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

7871328 is a wasteful number, since it uses less digits than its factorization.

7871328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 337 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 7871328 is about 2805.5887082750. The cubic root of 7871328 is about 198.9219326284.

The spelling of 7871328 in words is "seven million, eight hundred seventy-one thousand, three hundred twenty-eight".