3952728 has 96 divisors (see below), whose sum is σ = 11924640. Its totient is φ = 1175040.

The previous prime is 3952691. The next prime is 3952733. The reversal of 3952728 is 8272593.

It is a happy number.

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 = 3952692 and 3952701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38325 + ... + 38427.

It is an arithmetic number, because the mean of its divisors is an integer number (124215).

Almost surely, 2^3952728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3952728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962320).

3952728 is an abundant number, since it is smaller than the sum of its proper divisors (7971912).

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

3952728 is a wasteful number, since it uses less digits than its factorization.

3952728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3952728 is about 1988.1468758620. The cubic root of 3952728 is about 158.1122953230.

The spelling of 3952728 in words is "three million, nine hundred fifty-two thousand, seven hundred twenty-eight".