34728 has 16 divisors (see below), whose sum is σ = 86880. Its totient is φ = 11568.

The previous prime is 34721. The next prime is 34729. The reversal of 34728 is 82743.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1447 = 34728 / (3 + 4 + 7 + 2 + 8).

It is a d-powerful number, because it can be written as 3⁴ + 4⁵ + 7³ + 2¹⁵ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 34698 and 34707.

It is not an unprimeable number, because it can be changed into a prime (34721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 700 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (5430).

2³⁴⁷²⁸ is an apocalyptic number.

It is an amenable number.

34728 is an abundant number, since it is smaller than the sum of its proper divisors (52152).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43440).

34728 is a wasteful number, since it uses less digits than its factorization.

34728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1452 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 34728 is about 186.3545008847. The cubic root of 34728 is about 32.6257064482.

The spelling of 34728 in words is "thirty-four thousand, seven hundred twenty-eight".