34432728 has 96 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 10225600.

The previous prime is 34432691. The next prime is 34432729. The reversal of 34432728 is 82723443.

It is a super-2 number, since 2×34432728² = 2371225515043968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34432729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206101 + ... + 206267.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^34432728 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 34432728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

34432728 is an abundant number, since it is smaller than the sum of its proper divisors (62093352).

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

34432728 is a wasteful number, since it uses less digits than its factorization.

34432728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 34432728 is about 5867.9406949968. The cubic root of 34432728 is about 325.3297733568.

The spelling of 34432728 in words is "thirty-four million, four hundred thirty-two thousand, seven hundred twenty-eight".