34428792 has 64 divisors (see below), whose sum is σ = 90881280. Its totient is φ = 10847232.

The previous prime is 34428781. The next prime is 34428799. The reversal of 34428792 is 29782443.

34428792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (96768) is a multiple of the sum of its prime divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 34428792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34428799) 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 15 ways as a sum of consecutive naturals, for example, 53223 + ... + 53865.

It is an arithmetic number, because the mean of its divisors is an integer number (1420020).

Almost surely, 2^34428792 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 34428792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45440640).

34428792 is an abundant number, since it is smaller than the sum of its proper divisors (56452488).

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

34428792 is a wasteful number, since it uses less digits than its factorization.

34428792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 34428792 is about 5867.6053036993. The cubic root of 34428792 is about 325.3173767518.

The spelling of 34428792 in words is "thirty-four million, four hundred twenty-eight thousand, seven hundred ninety-two".