35896728 has 64 divisors (see below), whose sum is σ = 104002560. Its totient is φ = 10112256.

The previous prime is 35896723. The next prime is 35896747. The reversal of 35896728 is 82769853.

35896728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×35896728² = 2577150162211968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35896723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10801 + ... + 13727.

It is an arithmetic number, because the mean of its divisors is an integer number (1625040).

Almost surely, 2^35896728 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 35896728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52001280).

35896728 is an abundant number, since it is smaller than the sum of its proper divisors (68105832).

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

35896728 is a wasteful number, since it uses less digits than its factorization.

35896728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3012 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 35896728 is about 5991.3878191951. The cubic root of 35896728 is about 329.8766848709.

The spelling of 35896728 in words is "thirty-five million, eight hundred ninety-six thousand, seven hundred twenty-eight".