34820928 has 84 divisors (see below), whose sum is σ = 103550720. Its totient is φ = 11601792.

The previous prime is 34820923. The next prime is 34820953. The reversal of 34820928 is 82902843.

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 = 34820892 and 34820901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34820923) 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, 14433 + ... + 16671.

Almost surely, 2^34820928 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 34820928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51775360).

34820928 is an abundant number, since it is smaller than the sum of its proper divisors (68729792).

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

34820928 is an equidigital number, since it uses as much as digits as its factorization.

34820928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34820928 is about 5900.9260290229. The cubic root of 34820928 is about 326.5478136738.

The spelling of 34820928 in words is "thirty-four million, eight hundred twenty thousand, nine hundred twenty-eight".