34129728 has 56 divisors (see below), whose sum is σ = 100340160. Its totient is φ = 11376000.

The previous prime is 34129717. The next prime is 34129747. The reversal of 34129728 is 82792143.

34129728 is a `hidden beast` number, since 341 + 297 + 28 = 666.

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 = 34129692 and 34129701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8148 + ... + 11603.

Almost surely, 2^34129728 is an apocalyptic number.

It is an amenable number.

34129728 is an abundant number, since it is smaller than the sum of its proper divisors (66210432).

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

34129728 is a wasteful number, since it uses less digits than its factorization.

34129728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19772 (or 19756 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 34129728 is about 5842.0653881996. The cubic root of 34129728 is about 324.3726850047.

The spelling of 34129728 in words is "thirty-four million, one hundred twenty-nine thousand, seven hundred twenty-eight".