34528032 has 240 divisors, whose sum is σ = 127334592. Its totient is φ = 8916480.

The previous prime is 34528031. The next prime is 34528049. The reversal of 34528032 is 23082543.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34527987 and 34528005.

It is not an unprimeable number, because it can be changed into a prime (34528031) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 199498 + ... + 199670.

Almost surely, 2^34528032 is an apocalyptic number.

34528032 is a gapful number since it is divisible by the number (32) 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 34528032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63667296).

34528032 is an abundant number, since it is smaller than the sum of its proper divisors (92806560).

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

34528032 is a wasteful number, since it uses less digits than its factorization.

34528032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34528032 is about 5876.0558200208. The cubic root of 34528032 is about 325.6296495567.

The spelling of 34528032 in words is "thirty-four million, five hundred twenty-eight thousand, thirty-two".