34828032 has 72 divisors (see below), whose sum is σ = 93819600. Its totient is φ = 11468800.

The previous prime is 34828021. The next prime is 34828051. The reversal of 34828032 is 23082843.

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, 77344 + ... + 77792.

It is an arithmetic number, because the mean of its divisors is an integer number (1303050).

Almost surely, 2^34828032 is an apocalyptic number.

34828032 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 34828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46909800).

34828032 is an abundant number, since it is smaller than the sum of its proper divisors (58991568).

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

34828032 is a wasteful number, since it uses less digits than its factorization.

34828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34828032 is about 5901.5279377463. The cubic root of 34828032 is about 326.5700190740.

The spelling of 34828032 in words is "thirty-four million, eight hundred twenty-eight thousand, thirty-two".