34568928 has 72 divisors (see below), whose sum is σ = 101719800. Its totient is φ = 11122944.

The previous prime is 34568927. The next prime is 34568929. The reversal of 34568928 is 82986543.

34568928 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 (34568927) and next prime (34568929).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34568927) 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 11 ways as a sum of consecutive naturals, for example, 6283 + ... + 10421.

It is an arithmetic number, because the mean of its divisors is an integer number (1412775).

Almost surely, 2^34568928 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 34568928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50859900).

34568928 is an abundant number, since it is smaller than the sum of its proper divisors (67150872).

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

34568928 is a wasteful number, since it uses less digits than its factorization.

34568928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4173 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 34568928 is about 5879.5346754654. The cubic root of 34568928 is about 325.7581605584.

The spelling of 34568928 in words is "thirty-four million, five hundred sixty-eight thousand, nine hundred twenty-eight".