32800852 has 72 divisors (see below), whose sum is σ = 72067968. Its totient is φ = 12767040.

The previous prime is 32800811. The next prime is 32800891. The reversal of 32800852 is 25800823.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 32800852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618858 + ... + 618910.

It is an arithmetic number, because the mean of its divisors is an integer number (1000944).

Almost surely, 2^32800852 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 32800852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36033984).

32800852 is an abundant number, since it is smaller than the sum of its proper divisors (39267116).

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

32800852 is a wasteful number, since it uses less digits than its factorization.

32800852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 32800852 is about 5727.2028076540. The cubic root of 32800852 is about 320.1069043860.

The spelling of 32800852 in words is "thirty-two million, eight hundred thousand, eight hundred fifty-two".