7966728 has 128 divisors (see below), whose sum is σ = 27648000. Its totient is φ = 2064960.

The previous prime is 7966723. The next prime is 7966747. The reversal of 7966728 is 8276697.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7966723) 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, 16393 + ... + 16871.

It is an arithmetic number, because the mean of its divisors is an integer number (216000).

Almost surely, 2^7966728 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 7966728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824000).

7966728 is an abundant number, since it is smaller than the sum of its proper divisors (19681272).

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

7966728 is a wasteful number, since it uses less digits than its factorization.

7966728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 7966728 is about 2822.5392822776. The cubic root of 7966728 is about 199.7223480587.

The spelling of 7966728 in words is "seven million, nine hundred sixty-six thousand, seven hundred twenty-eight".