10395828 has 18 divisors (see below), whose sum is σ = 26278434. Its totient is φ = 3465264.

The previous prime is 10395821. The next prime is 10395841. The reversal of 10395828 is 82859301.

It can be written as a sum of positive squares in only one way, i.e., 9659664 + 736164 = 3108^2 + 858^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 288773 = 10395828 / (1 + 0 + 3 + 9 + 5 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 10395792 and 10395801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10395821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144351 + ... + 144422.

It is an arithmetic number, because the mean of its divisors is an integer number (1459913).

Almost surely, 2^10395828 is an apocalyptic number.

10395828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10395828 is an abundant number, since it is smaller than the sum of its proper divisors (15882606).

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

10395828 is a wasteful number, since it uses less digits than its factorization.

10395828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288783 (or 288778 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 10395828 is about 3224.2561932948. The cubic root of 10395828 is about 218.2493849449.

The spelling of 10395828 in words is "ten million, three hundred ninety-five thousand, eight hundred twenty-eight".