32228280 has 320 divisors, whose sum is σ = 130680000. Its totient is φ = 7112448.

The previous prime is 32228279. The next prime is 32228281. The reversal of 32228280 is 8282223.

It is an interprime number because it is at equal distance from previous prime (32228279) and next prime (32228281).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32228281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1111306 + ... + 1111334.

It is an arithmetic number, because the mean of its divisors is an integer number (408375).

Almost surely, 2^32228280 is an apocalyptic number.

32228280 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 32228280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65340000).

32228280 is an abundant number, since it is smaller than the sum of its proper divisors (98451720).

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

32228280 is a wasteful number, since it uses less digits than its factorization.

32228280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 32228280 is about 5676.9956843387. The cubic root of 32228280 is about 318.2333637704.

The spelling of 32228280 in words is "thirty-two million, two hundred twenty-eight thousand, two hundred eighty".