4129728 has 56 divisors (see below), whose sum is σ = 11076432. Its totient is φ = 1357824.

The previous prime is 4129721. The next prime is 4129729. The reversal of 4129728 is 8279214.

It is a happy number.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26226 + ... + 26382.

Almost surely, 2^4129728 is an apocalyptic number.

4129728 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 4129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538216).

4129728 is an abundant number, since it is smaller than the sum of its proper divisors (6946704).

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

4129728 is a wasteful number, since it uses less digits than its factorization.

4129728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 4129728 is about 2032.1732209632. The cubic root of 4129728 is about 160.4379667300.

The spelling of 4129728 in words is "four million, one hundred twenty-nine thousand, seven hundred twenty-eight".