34428800028 has 72 divisors (see below), whose sum is σ = 94077018000. Its totient is φ = 9770756352.

The previous prime is 34428800011. The next prime is 34428800039. The reversal of 34428800028 is 82000882443.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 108873 + ... + 284096.

It is an arithmetic number, because the mean of its divisors is an integer number (1306625250).

Almost surely, 2^34428800028 is an apocalyptic number.

It is an amenable number.

34428800028 is an abundant number, since it is smaller than the sum of its proper divisors (59648217972).

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

34428800028 is a wasteful number, since it uses less digits than its factorization.

34428800028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393139 (or 393130 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 34428800028 in words is "thirty-four billion, four hundred twenty-eight million, eight hundred thousand, twenty-eight".