7988352 has 64 divisors (see below), whose sum is σ = 21591360. Its totient is φ = 2616320.

The previous prime is 7988347. The next prime is 7988381. The reversal of 7988352 is 2538897.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 7⁸ + 9 + 8⁴ + 8⁴ + 3⁴ + 5⁹ + 2¹⁸ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27118 + ... + 27410.

It is an arithmetic number, because the mean of its divisors is an integer number (337365).

Almost surely, 2^7988352 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 7988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795680).

7988352 is an abundant number, since it is smaller than the sum of its proper divisors (13603008).

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

7988352 is a wasteful number, since it uses less digits than its factorization.

7988352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

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

The square root of 7988352 is about 2826.3672797427. The cubic root of 7988352 is about 199.9028861855.

The spelling of 7988352 in words is "seven million, nine hundred eighty-eight thousand, three hundred fifty-two".