4195728 has 30 divisors (see below), whose sum is σ = 11742614. Its totient is φ = 1398528.

The previous prime is 4195703. The next prime is 4195747. The reversal of 4195728 is 8275914.

It can be written as a sum of positive squares in only one way, i.e., 4112784 + 82944 = 2028^2 + 288^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4¹¹ + 1 + 9³ + 5³ + 7² + 2⁹ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 4195692 and 4195701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14425 + ... + 14712.

Almost surely, 2^4195728 is an apocalyptic number.

4195728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4195728 is an abundant number, since it is smaller than the sum of its proper divisors (7546886).

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

4195728 is a wasteful number, since it uses less digits than its factorization.

4195728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29151 (or 29142 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 4195728 is about 2048.3476267470. The cubic root of 4195728 is about 161.2881431310.

The spelling of 4195728 in words is "four million, one hundred ninety-five thousand, seven hundred twenty-eight".