35065728 has 96 divisors (see below), whose sum is σ = 102765000. Its totient is φ = 11473920.

The previous prime is 35065721. The next prime is 35065739. The reversal of 35065728 is 82756053.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 35065692 and 35065701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35065721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70023 + ... + 70521.

Almost surely, 2^35065728 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 35065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51382500).

35065728 is an abundant number, since it is smaller than the sum of its proper divisors (67699272).

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

35065728 is a wasteful number, since it uses less digits than its factorization.

35065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 35065728 is about 5921.6322074239. The cubic root of 35065728 is about 327.3112654954.

The spelling of 35065728 in words is "thirty-five million, sixty-five thousand, seven hundred twenty-eight".