10306728 has 48 divisors (see below), whose sum is σ = 28072980. Its totient is φ = 3416064.

The previous prime is 10306727. The next prime is 10306729. The reversal of 10306728 is 82760301.

It is an interprime number because it is at equal distance from previous prime (10306727) and next prime (10306729).

It can be written as a sum of positive squares in 2 ways, for example, as 10227204 + 79524 = 3198^2 + 282^2 .

It is not an unprimeable number, because it can be changed into a prime (10306727) 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, 18226 + ... + 18782.

Almost surely, 2^10306728 is an apocalyptic number.

10306728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10306728 is an abundant number, since it is smaller than the sum of its proper divisors (17766252).

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

10306728 is a wasteful number, since it uses less digits than its factorization.

10306728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10306728 is about 3210.4093196974. The cubic root of 10306728 is about 217.6240750648.

The spelling of 10306728 in words is "ten million, three hundred six thousand, seven hundred twenty-eight".