2935728 has 120 divisors (see below), whose sum is σ = 9188400. Its totient is φ = 870912.

The previous prime is 2935727. The next prime is 2935729. The reversal of 2935728 is 8275392.

It is a happy number.

2935728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2935727) and next prime (2935729).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 2⁵ + 9⁴ + 3⁵ + 5 + 7⁷ + 2¹³ + 8⁷ .

Its product of digits (30240) is a multiple of the sum of its prime divisors (90).

It is a junction number, because it is equal to n+sod(n) for n = 2935692 and 2935701.

It is not an unprimeable number, because it can be changed into a prime (2935727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79326 + ... + 79362.

It is an arithmetic number, because the mean of its divisors is an integer number (76570).

2^2935728 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 2935728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594200).

2935728 is an abundant number, since it is smaller than the sum of its proper divisors (6252672).

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

2935728 is a wasteful number, since it uses less digits than its factorization.

2935728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

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

The square root of 2935728 is about 1713.3966265871. The cubic root of 2935728 is about 143.1875544462.

It can be divided in two parts, 2935 and 728, that added together give a palindrome (3663).

The spelling of 2935728 in words is "two million, nine hundred thirty-five thousand, seven hundred twenty-eight".