35028672 has 112 divisors (see below), whose sum is σ = 107777280. Its totient is φ = 9833472.

The previous prime is 35028649. The next prime is 35028673. The reversal of 35028672 is 27682053.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35028673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89854 + ... + 90242.

Almost surely, 2^35028672 is an apocalyptic number.

35028672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53888640).

35028672 is an abundant number, since it is smaller than the sum of its proper divisors (72748608).

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

35028672 is a wasteful number, since it uses less digits than its factorization.

35028672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 35028672 is about 5918.5025133052. The cubic root of 35028672 is about 327.1959285565.

The spelling of 35028672 in words is "thirty-five million, twenty-eight thousand, six hundred seventy-two".