7930728 has 96 divisors (see below), whose sum is σ = 23860200. Its totient is φ = 2363904.

The previous prime is 7930709. The next prime is 7930757. The reversal of 7930728 is 8270397.

It can be written as a sum of positive squares in 4 ways, for example, as 7851204 + 79524 = 2802^2 + 282^2 .

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 = 7930692 and 7930701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34518 + ... + 34746.

Almost surely, 2^7930728 is an apocalyptic number.

7930728 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 7930728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11930100).

7930728 is an abundant number, since it is smaller than the sum of its proper divisors (15929472).

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

7930728 is a wasteful number, since it uses less digits than its factorization.

7930728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7930728 is about 2816.1548252893. The cubic root of 7930728 is about 199.4210590875.

The spelling of 7930728 in words is "seven million, nine hundred thirty thousand, seven hundred twenty-eight".