34928064 has 224 divisors, whose sum is σ = 115214400. Its totient is φ = 10321920.

The previous prime is 34928039. The next prime is 34928077. The reversal of 34928064 is 46082943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851884 + ... + 851924.

It is an arithmetic number, because the mean of its divisors is an integer number (514350).

Almost surely, 2^34928064 is an apocalyptic number.

34928064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57607200).

34928064 is an abundant number, since it is smaller than the sum of its proper divisors (80286336).

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

34928064 is a wasteful number, since it uses less digits than its factorization.

34928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34928064 is about 5909.9969543139. The cubic root of 34928064 is about 326.8823749992.

Adding to 34928064 its sum of digits (36), we get a square (34928100 = 5910²).

The spelling of 34928064 in words is "thirty-four million, nine hundred twenty-eight thousand, sixty-four".