7993128 has 128 divisors (see below), whose sum is σ = 25038720. Its totient is φ = 2088960.

The previous prime is 7993127. The next prime is 7993157. The reversal of 7993128 is 8213997.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7993127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58276 + ... + 58412.

It is an arithmetic number, because the mean of its divisors is an integer number (195615).

Almost surely, 2^7993128 is an apocalyptic number.

7993128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7993128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519360).

7993128 is an abundant number, since it is smaller than the sum of its proper divisors (17045592).

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

7993128 is a wasteful number, since it uses less digits than its factorization.

7993128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 7993128 is about 2827.2120543037. The cubic root of 7993128 is about 199.9427169281.

The spelling of 7993128 in words is "seven million, nine hundred ninety-three thousand, one hundred twenty-eight".