32800000 has 108 divisors (see below), whose sum is σ = 83830572. Its totient is φ = 12800000.

The previous prime is 32799997. The next prime is 32800003. The reversal of 32800000 is 823.

It is an interprime number because it is at equal distance from previous prime (32799997) and next prime (32800003).

It can be written as a sum of positive squares in 6 ways, for example, as 32080896 + 719104 = 5664^2 + 848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32800003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799980 + ... + 800020.

It is an arithmetic number, because the mean of its divisors is an integer number (776209).

Almost surely, 2^32800000 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 32800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41915286).

32800000 is an abundant number, since it is smaller than the sum of its proper divisors (51030572).

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

32800000 is an frugal number, since it uses more digits than its factorization.

32800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 32800000 is about 5727.1284253105. The cubic root of 32800000 is about 320.1041327766.

Adding to 32800000 its reverse (823), we get a palindrome (32800823).

The spelling of 32800000 in words is "thirty-two million, eight hundred thousand".