34628928 has 112 divisors (see below), whose sum is σ = 96780096. Its totient is φ = 10915840.

The previous prime is 34628927. The next prime is 34628977. The reversal of 34628928 is 82982643.

Its product of digits (165888) is a multiple of the sum of its prime factors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 34628928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34628927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417175 + ... + 417257.

It is an arithmetic number, because the mean of its divisors is an integer number (864108).

Almost surely, 2^34628928 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 34628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48390048).

34628928 is an abundant number, since it is smaller than the sum of its proper divisors (62151168).

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

34628928 is a wasteful number, since it uses less digits than its factorization.

34628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 34628928 is about 5884.6349079616. The cubic root of 34628928 is about 325.9465203903.

The spelling of 34628928 in words is "thirty-four million, six hundred twenty-eight thousand, nine hundred twenty-eight".