7993728 has 96 divisors (see below), whose sum is σ = 23947560. Its totient is φ = 2654208.

The previous prime is 7993721. The next prime is 7993747. The reversal of 7993728 is 8273997.

7993728 = 32² + 33² + ... + 288².

7993728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993721) 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, 30976 + ... + 31232.

Almost surely, 2^7993728 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 7993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973780).

7993728 is an abundant number, since it is smaller than the sum of its proper divisors (15953832).

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

7993728 is an equidigital number, since it uses as much as digits as its factorization.

7993728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 7993728 is about 2827.3181639143. The cubic root of 7993728 is about 199.9477196684.

The spelling of 7993728 in words is "seven million, nine hundred ninety-three thousand, seven hundred twenty-eight".