32825280 has 112 divisors (see below), whose sum is σ = 107679744. Its totient is φ = 8463360.

The previous prime is 32825269. The next prime is 32825321. The reversal of 32825280 is 8252823.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29209 + ... + 30311.

Almost surely, 2^32825280 is an apocalyptic number.

32825280 is a gapful number since it is divisible by the number (30) 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 32825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53839872).

32825280 is an abundant number, since it is smaller than the sum of its proper divisors (74854464).

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

32825280 is a wasteful number, since it uses less digits than its factorization.

32825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 32825280 is about 5729.3350399501. The cubic root of 32825280 is about 320.1863497928.

The spelling of 32825280 in words is "thirty-two million, eight hundred twenty-five thousand, two hundred eighty".