34552728 has 96 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 9791424.

The previous prime is 34552723. The next prime is 34552747. The reversal of 34552728 is 82725543.

34552728 is a `hidden beast` number, since 34 + 552 + 72 + 8 = 666.

34552728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 34552692 and 34552701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34552723) 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 23 ways as a sum of consecutive naturals, for example, 90025 + ... + 90407.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 2^34552728 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 34552728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

34552728 is an abundant number, since it is smaller than the sum of its proper divisors (73274472).

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

34552728 is a wasteful number, since it uses less digits than its factorization.

34552728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 574 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 34552728 is about 5878.1568539807. The cubic root of 34552728 is about 325.7072660405.

The spelling of 34552728 in words is "thirty-four million, five hundred fifty-two thousand, seven hundred twenty-eight".