34028928 has 96 divisors (see below), whose sum is σ = 99184800. Its totient is φ = 11197440.

The previous prime is 34028923. The next prime is 34028947. The reversal of 34028928 is 82982043.

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 = 34028892 and 34028901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34028923) 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, 125433 + ... + 125703.

It is an arithmetic number, because the mean of its divisors is an integer number (1033175).

Almost surely, 2^34028928 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 34028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49592400).

34028928 is an abundant number, since it is smaller than the sum of its proper divisors (65155872).

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

34028928 is a wasteful number, since it uses less digits than its factorization.

34028928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 385 counting only the distinct ones).

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

The square root of 34028928 is about 5833.4319229764. The cubic root of 34028928 is about 324.0530320143.

The spelling of 34028928 in words is "thirty-four million, twenty-eight thousand, nine hundred twenty-eight".