4267728 has 100 divisors (see below), whose sum is σ = 12828420. Its totient is φ = 1368576.

The previous prime is 4267721. The next prime is 4267729. The reversal of 4267728 is 8277624.

It can be written as a sum of positive squares in 2 ways, for example, as 2396304 + 1871424 = 1548^2 + 1368^2 .

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 = 4267692 and 4267701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4267721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47908 + ... + 47996.

Almost surely, 2^4267728 is an apocalyptic number.

4267728 is a gapful number since it is divisible by the number (48) 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 4267728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414210).

4267728 is an abundant number, since it is smaller than the sum of its proper divisors (8560692).

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

4267728 is a wasteful number, since it uses less digits than its factorization.

4267728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 4267728 is about 2065.8480098981. The cubic root of 4267728 is about 162.2055005248.

The spelling of 4267728 in words is "four million, two hundred sixty-seven thousand, seven hundred twenty-eight".