35113728 has 72 divisors (see below), whose sum is σ = 100671088. Its totient is φ = 10801152.

The previous prime is 35113723. The next prime is 35113783. The reversal of 35113728 is 82731153.

It is a junction number, because it is equal to n+sod(n) for n = 35113695 and 35113704.

It is not an unprimeable number, because it can be changed into a prime (35113723) 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, 8226 + ... + 11742.

Almost surely, 2^35113728 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 35113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50335544).

35113728 is an abundant number, since it is smaller than the sum of its proper divisors (65557360).

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

35113728 is a wasteful number, since it uses less digits than its factorization.

35113728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3535 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 35113728 is about 5925.6837580148. The cubic root of 35113728 is about 327.4605449429.

The spelling of 35113728 in words is "thirty-five million, one hundred thirteen thousand, seven hundred twenty-eight".